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:

  1. 11:4
  2. 3:11
  3. 13:5
  4. 10:4
Anurag Mishra Professor Asked on 7th January 2016 in Maths.
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1 Answer(s)

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.

Anurag Mishra Professor Answered on 7th January 2016.
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