1.

The sum of the age of a father and his son is 100 years now. 5 years agotheir age were in the ratio of 2:1. Theratio of the age of father and sonafter 10 years will be​

Answer» ANSWER :

25 : 9

Solution :

Let,

Age of FATHER be 'x'.

Age of SON be 'y'.

Given,

SUM of age of father and son = 100

x + y = 100

x = 100 - y

Five years ago,

Ratio of their ages = 2 : 1

(x-5) : (y-5) = 2 : 1

(x-5)/(y-5) = 2/1

Substitute x = 100 - y

(100 - y)-5/y - 5 = 2

100 - y = 2y - 10 + 5

100 + 5 = 3y

y = 35

x = 100 - y

x = 100 - 35

x = 65

Ratio of their ages after 10 yrs

= (65 + 10) : (35 + 10)

= 75 : 45

= 25 : 9


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