A's mother was 4 time as ols as A,ten year ago After ten years she will be twice as old - Maths - Mensuration

Question

A's mother was 4 time as ols as A,ten year ago After ten years she
will be twice as old as A Then A's age is

Manas Padsalgikar · Answer

Let current age of A be x years
let current age of A's mom y years

By given condition
4(x-10) =y-10
&
2(x+10) = y+10
Therefore 4x-y=30 & 2x-y=-10
(4x-y) - (2x-y)=30- (-10)
2x=40
x=20
Therefore y

A's mother was 4 time as ols as A,ten year ago.After ten years she will be twice as old as A.Then A's age is