1.  The ratio of the ages of Ram and Rahim 10 yr ago was 1 : 3. The ratio of their ages five years hence will be 2 : 3. Then, the ratio of their present ages is :

A. 1 : 2
B. 3 : 5
C. 3 : 4
D. 2 : 5

Answer: Option B

Explanation:

Let 10 yr ago, ages of Ram and Rahim were x yr and 3x yr, respectively.

Then, present age of Ram = (x + 10)

And present age of Rahim = (3x + 10)

According to the question,

According to the question,

Then, x + 10 + 5 = 2
3x + 10 + 5 3

3x + 45 = 6x + 30

3x = 15

x = 5

Hence, Required ratio

Then, 5 + 10 = 15
3 x 5 + 10 25

           = 3 : 5