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

2 thoughts on “The ratio of the father’s age to the son’s age is 4:1. The product of their <br /><br />ages is 196. Find the ratio of their ages”

1. 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

   Reply

2. 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

   Reply