Question

The present age of shirisha's father is three years more than four times of shirisha. After ten years the sum of their ages would be 65 years . Find the present ages

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Answer 1

let present age of father be x and shirsha be y years

According to first condition :

x=4y+3

x-4y=3.....(1)

there ages after 10 years ,will be,

x+10 and y+10

According to second condition:

(x+10)+( y+10)=65

x+10+y+10=65

x+y=45..(2)

multiply eqn (2) by 4,

4x+4y=180...(3)

Add eqn 1 and 3

x-4y=3

+4x+4y=180

__________

3x=183

x=61

y=16