Sandra is eight yrs younger than her brother mike. six yrs ago mike was three times old of Sandra. how old is mike? how old is Sandra?

3 answers

34+7
s = m - 8

m - 6 = 3(s - 6) = 3 s - 18

m - 8 = 3 s - 20

susbstituting
... s = 3 s - 20
... 20 = 2 s
mike's age ---- x years
Sandra's age --- x-8 years

Six years ago:
Mike was x - 6
Sandra was x-8-6 = x-14
x-6 = 3(x-14)
x-6 = 3x - 42
36 = 2x
x = 18

Mike is now 18 and Sandra is now 10 years old

check:
6 years ago Mike was 12 and Sandra was 4
which is 3 times as old
My answer is correct