Problems On Ages - Aptitude Questions And Answers :Quiz

1. In three more years, Miguel's grandfather will be six times as old as Miguel was last year. When Miguel's present age is added to his grandfather's present age, the total is 68. How old is each one now?

The grandfather is 57 years oldMiguel is presently 11 years old

The grandfather is 45 years oldMiguel is presently 23 years old

The grandfather is 60 years oldMiguel is presently 8 years old

The grandfather is 55 years oldMiguel is presently 13 years old

The grandfather is 48 years oldMiguel is presently 20 years old

In three more years, Miguel's grandfather will be six times as old as Miguel was last year. This means that the grandfather's age in three years will be six times Miguel's age last year. Let's assume Miguel's age last year was x. So, in three years, the grandfather's age will be 6x.

Now, let's consider the present ages. We know that the sum of Miguel's and his grandfather's present ages is 68. Let's assume Miguel's present age is y. So, the grandfather's present age will be 68 - y.

From the given information, we can set up the equation: 6x = 68 - y.

Since Miguel's present age is 11, we can substitute y = 11 into the equation: 6x = 68 - 11.

Simplifying this equation, we get 6x = 57. Solving for x, we find that x = 9.

Therefore, Miguel's age last year was 9, and his grandfather's present age is 57.

Explanation

In three more years, Miguel's grandfather will be six times as old as Miguel was last year. This means that the grandfather's age in three years will be six times Miguel's age last year. Let's assume Miguel's age last year was x. So, in three years, the grandfather's age will be 6x.

Now, let's consider the present ages. We know that the sum of Miguel's and his grandfather's present ages is 68. Let's assume Miguel's present age is y. So, the grandfather's present age will be 68 - y.

From the given information, we can set up the equation: 6x = 68 - y.

Since Miguel's present age is 11, we can substitute y = 11 into the equation: 6x = 68 - 11.

Simplifying this equation, we get 6x = 57. Solving for x, we find that x = 9.

Therefore, Miguel's age last year was 9, and his grandfather's present age is 57.

2. Miguel is 46 years old. He is 4 years older than thrice his Niko's age. Find the age of Niko.

Niko is 15 years old.

Niko is 14 years old.

Niko is 13 years old.

Niko is 10 years old.

Niko is 11 years old.

The question states that Miguel is 46 years old and is 4 years older than thrice Niko's age. Let's assume Niko's age to be x. According to the given information, Miguel's age can be expressed as 3x + 4. We are told that Miguel is 46 years old, so we can set up the equation 3x + 4 = 46. Solving this equation, we find that x = 14. Therefore, Niko is 14 years old.

Explanation

The question states that Miguel is 46 years old and is 4 years older than thrice Niko's age. Let's assume Niko's age to be x. According to the given information, Miguel's age can be expressed as 3x + 4. We are told that Miguel is 46 years old, so we can set up the equation 3x + 4 = 46. Solving this equation, we find that x = 14. Therefore, Niko is 14 years old.

3. Edward, Bryan and Mark are cousins.Edawrd’s age is one-third of Bryan and Mark is five years elder than Bryan. If the sum of the age of the cousins is 40, find the ages of each.

Edward=5Bryan=15Mark=20

Edward=2Bryan=13Mark=25

Edward=9Bryan=14Mark=17

Edward=11Bryan=13Mark=16

Edward=10Bryan=8Mark=22

Edward's age is one-third of Bryan's age, so if Bryan is 15 years old, Edward would be 5 years old. Mark is five years older than Bryan, so if Bryan is 15 years old, Mark would be 20 years old. The sum of their ages is 5 + 15 + 20 = 40, which matches the given information. Therefore, the ages of Edward, Bryan, and Mark are 5, 15, and 20 respectively.

Explanation

Edward's age is one-third of Bryan's age, so if Bryan is 15 years old, Edward would be 5 years old. Mark is five years older than Bryan, so if Bryan is 15 years old, Mark would be 20 years old. The sum of their ages is 5 + 15 + 20 = 40, which matches the given information. Therefore, the ages of Edward, Bryan, and Mark are 5, 15, and 20 respectively.

4. One-half of Heather's age two years from now plus one-third of her age three years ago is twenty years. How old is she now?

Heather is 36 years old.

Heather is 45 years old.

Heather is 67 years old.

Heather is 24 years old.

Heather is 56 years old.

Let's assume Heather's current age is x. Two years from now, her age will be x + 2. Three years ago, her age was x - 3. According to the given information, (1/2)(x + 2) + (1/3)(x - 3) = 20. Simplifying this equation, we get (3x + 6 + 2x - 6)/6 = 20. Combining like terms, we have 5x/6 = 20. Multiplying both sides by 6/5, we find x = 24. Therefore, Heather is currently 24 years old.

Explanation

Let's assume Heather's current age is x. Two years from now, her age will be x + 2. Three years ago, her age was x - 3. According to the given information, (1/2)(x + 2) + (1/3)(x - 3) = 20. Simplifying this equation, we get (3x + 6 + 2x - 6)/6 = 20. Combining like terms, we have 5x/6 = 20. Multiplying both sides by 6/5, we find x = 24. Therefore, Heather is currently 24 years old.

5. The sum of Ben and carol's age is 36. Nine years ago, Ben was twice as old as Carol. How old is each now?

Ben's age now is 19,Carol's age now is 17.

Ben's age now is 18,Carol's age now is 18.

Ben's age now is 21,Carol's age now is 15.

Ben's age now is 31,Carol's age now is 5.

Ben's age now is 23,Carol's age now is 13.

Let's assume Ben's age is B and Carol's age is C. According to the given information, B + C = 36. Nine years ago, Ben's age was B - 9 and Carol's age was C - 9. It is also stated that Ben was twice as old as Carol at that time, so we can write the equation B - 9 = 2(C - 9). Solving these two equations simultaneously, we get B = 21 and C = 15. Therefore, Ben's age now is 21 and Carol's age now is 15.

Explanation

Let's assume Ben's age is B and Carol's age is C. According to the given information, B + C = 36. Nine years ago, Ben's age was B - 9 and Carol's age was C - 9. It is also stated that Ben was twice as old as Carol at that time, so we can write the equation B - 9 = 2(C - 9). Solving these two equations simultaneously, we get B = 21 and C = 15. Therefore, Ben's age now is 21 and Carol's age now is 15.

6. John is twice as old as his friend Peter. Peter is 5 years older than Alice. In 5 years, John will be three times as old as Alice. How old is Peter now?

Peter is now 10 years old.

Peter is now 5 years old.

Peter is now 45 years old.

Peter is now 21 years old.

Peter is now 3 years old.

John is currently twice as old as Peter.

Peter is 5 years older than Alice, meaning if you take Peter's age and subtract 5 years, you get Alice's current age.

In 5 years, John will be three times as old as Alice is now. Since we know John's future age relation to Alice's current age, we can set up a relationship between their ages to solve the problem.

To find Peter's current age, we use the information that in 5 years, the difference in age between John and Alice, considering John's age as twice Peter's, reveals Peter's age relation to Alice. Knowing Peter is 5 years older than Alice and applying the condition about John's age in 5 years being three times Alice's current age allows us to calculate Peter's age. Through a series of substitutions and simplifications based on these relationships, we find that Peter is 10 years old now.

Explanation

John is currently twice as old as Peter.

Peter is 5 years older than Alice, meaning if you take Peter's age and subtract 5 years, you get Alice's current age.

In 5 years, John will be three times as old as Alice is now. Since we know John's future age relation to Alice's current age, we can set up a relationship between their ages to solve the problem.

To find Peter's current age, we use the information that in 5 years, the difference in age between John and Alice, considering John's age as twice Peter's, reveals Peter's age relation to Alice. Knowing Peter is 5 years older than Alice and applying the condition about John's age in 5 years being three times Alice's current age allows us to calculate Peter's age. Through a series of substitutions and simplifications based on these relationships, we find that Peter is 10 years old now.

7.

Sam is 3 years younger than Alex and Alex is 7 years older than Mary. If the sum of their ages is 44, find each persons age.

Alex's age = 16 Sam's age = 15 Mary's age = 11

Alex's age = 14 Sam's age = 15 Mary's age = 11

Alex's age = 15 Sam's age = 15 Mary's age = 11

Alex's age = 18 Sam's age = 15 Mary's age = 11

Alex's age = 12 Sam's age = 14 Mary's age = 1

Let's assume Sam's age as x. Since Sam is 3 years younger than Alex, Alex's age would be x + 3. Since Alex is 7 years older than Mary, Mary's age would be x - 4. The sum of their ages is given as 44, so we can form the equation x + (x + 3) + (x - 4) = 44. Solving this equation, we get x = 15. Therefore, Sam's age is 15, Alex's age is 18, and Mary's age is 11.

Explanation

Let's assume Sam's age as x. Since Sam is 3 years younger than Alex, Alex's age would be x + 3. Since Alex is 7 years older than Mary, Mary's age would be x - 4. The sum of their ages is given as 44, so we can form the equation x + (x + 3) + (x - 4) = 44. Solving this equation, we get x = 15. Therefore, Sam's age is 15, Alex's age is 18, and Mary's age is 11.