Correct Answers: | |

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Unattempted: |

### Question 1

The ages of two friends are in the ratio 13:7. What is the age of the younger friend if the sum of their ages is 100 years?

### Question 2

After 5 years from today the ages of three friends will be in an AP(arithmetic progression), and their sum would be 99. What is the age of the middle friend today?

### Question 3

The age of father tortoise is 10 times the age of his son. After 12 years his age will be 6 times the age of his son. What would be the ratio of their ages 120 years from today?

**A**

2.

**B**

5.

**C**

3.

**D**

4.

**Soln.**

**Ans: a**

If the age of the son today is s, the age of the father is 10s. After 12 years, we have 10s + 12 = 6(s + 12). Solving for s, we get s = 15 years. The ratio of their ages after 120 years = ${10s + 120}/{s + 120}$. Substituting s and simplifying we get the ratio as 2.

### Question 4

The ages of three friends are in the ratio 2:23:3. What is the age of the youngest friend if the sum of their ages 3 years back was 159 years?

**A**

12 years.

**B**

13 years.

**C**

11 years.

**D**

14 years.

**Soln.**

**Ans: a**

Let the ages of three friends be 2r, 23r and 3r. The youngest of these is 2r. We have been given their sum 3 years back. So (2 + 23 + 3)r - (3 × 3) = 159. Solving, we get r = 6. The youngest is 2 × 6 = 12 years.

### Question 5

The ratio of present ages of two monuments A and B is $5{1/5}$. If the difference of their ages is 105, then what is the age of B?

**A**

25 years.

**B**

20 years.

**C**

15 years.

**D**

30 years.

**Soln.**

**Ans: a**

The ratio of ages of A and B is given as ${26/5}$, which is same as: $5{1/5}$. So we can write the present ages of A and B, respectively, as 26r and 5r years. The difference is $26r - 5r = 105$ which gives r = 5. The age of B, therefore, is 5r = 5 × 5 = 25 years.

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This Blog Post/Article "Problems on Ages Quiz Set 004" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-05-17.