Question

the sum of the ages of rakhi and shika is 37 years . five years ago rakhi age was twice that of shika . find their present ages .

Answer 1

let the present age of rakhi be X years.
then , sikha age will be (37-X ) years.
5 years ago:-
age of rakhi = X-5 years
and , age of sikha = (37-X-5)=( 32-X)
= 2(32-X) = x-5
= 64-2X = X-5
= 69 = 3X
= X = 23
hence, age of rakhi = 23 years .
and, age of sikha is( 37-23) = 14 years .

Answer 2

let Rakhis age be x
and shika s be y
x+y=37

five years ago
Rakhis age is x-5
shakis age is y-5

y-5=2(x-5)
y-5=2x-10
2x-y=5

x+y=37
2x-y=5
------------
3x=42

x=16
y=21