10 years ago simrans mother was 4 times older than her daughter . after 10 years the mother will be twice oder than her daughter . find present age of simran

4 answers

m = 2s

(m-10) = 4(s-10)

Substitute 2s for m in the second equation and solve for s.
Simran's present age=x

Simran's age 10 years ago = x-10
Her mother's age 10 years ago = 4(x-10)

Simran's age after 10 years= x+10
Her mother's age after 10years =2( x+ 10 )

ATQ,
2(x-10) +20 = 4 (x+10)
2x- 20 +20=4x+40
2x=4x+40
4x-2x=40
x= 40 ÷ 2
x= 20

Simran's present age is 20 years
Simran's present age=x

Simran's age 10 years ago = x-10
Her mother's age 10 years ago = 4(x-10)

Simran's age after 10 years= x+10
Her mother's age after 10years =2( x+ 10 )

ATQ,
2(x-10) +20 = 4 (x+10)
2x- 20 +20=4x+40
2x=4x+40
4x-2x=40
x= 40 ÷ 2
x= 20

Simran's present age is 20 years
Good