Question

The ratio of the father’s age to the son’s age is 4:1. The product of their

ages is 196. Find the ratio of their ages after 5 years?​

Answer 1

Let the father's age and son's age be 4x years and x years respectively.

Given, 4x×x=196⇒x

2

=

4

196

=49⇒x=7

∴Requiredratio=

x+5

4x+5

=

7+5

4×7+5=11/33

=11/4

Answer 2

Answer :

• 11 : 4 is the ratio of their ages after 5 years

Given :

• The ratio of the father's age to the son's age is 4 : 1
• Product of their ages is 196

To find :

• Ratio of their ages after 5 years

Solution :

• Let the father's age be 4x
• Let the son's age be x

Product of their ages is 196 so,

》196 = 4x × x

》196 = 4 × x²

》196/4 = x²

》49 = x²

》x² = 49

》x = √49

》x = 7

After 5 years,

》Father's age = 4x + 5

》 4(7) + 5

》28 + 5

》33

》Son's age = x + 5

》7 + 5

》12

Now , we have to find the ratio of their ages after 5 years:

• Father's age = 33
• Son's age = 12

》33 : 12

》11 : 4

Hence, 11 : 4 is the ratio of their ages after 5 years