# What would be ratio?

The ratio of father’s age to that of the daughter’sage 4:1. the product of their present ages is 196. The ratio of their ages 5 years hence would be:

- 11:4
- 3:11
- 13:5
- 10:4

**Answer: (1) 11: 4 **

**Explanation:-**

The ratio of father’s age to that of the daughter’s age = 4: 1

Let the father’s age be 4 X and daughter’s age be X

The products of their present ages is 196.

Then, 4 X x X = 196

4 X^2 = 196

X^2 = 196/4

X^2 = 49

Square root on both side,

X = 7

So, the present father’s age 4 X = 4 x 7 = 28 years & his daughter’s age X = 7 years.

Then, father’s age after 5 years = 28 + 5 = 33 years & his daughter’s age = 7 + 5 = 12.

Thus, the ratio of their age = 33/12

= 11: 4

Hence, the correct answer is option (1) 11: 4.