Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

When the daughter was born, the age of her mother was same as the daughter's age today. What was the age of the daughter 5 years back, if the age of the mother today is 44 years?

### Question 2

The ages of three friends are in the ratio 13:11:2. What is the age of the youngest friend if the sum of their ages is 52 years?

### Question 3

The square root of twice my present age is equal to the sum of the square roots of my ages 8 years back and 8 years hence. What is my present age?

**A**

8 years.

**B**

9 years.

**C**

7 years.

**D**

16 years.

**Soln.**

**Ans: a**

Let the present age be x. Then $√(x - 8) + √(x + 8)$ = $√{2x}$. Squaring both sides, $(√(x - 8))^2 + (√(x + 8))^2 + 2√{x^2 - 8^2}$ = $2x$ which gives $x - 8 + x + 8 + 2√{x^2 - 8^2}$ = $2x$. Cancelling, and simplifying, $2√(x^2 - 64) = 0$, which leads to x = 8 years.

### Question 4

After 5 years from today the ages of three friends will be in an AP(arithmetic progression), and their sum would be 45. What is the age of the middle friend today?

### Question 5

The ages of two friends are 9 and 16 years respectively. They are looking for a special third friend whose age is in-between their ages. What should be the age of the third friend if the ages of all three have to be in a GP(geometric progression)?

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This Blog Post/Article "Problems on Ages Quiz Set 002" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-10-26.