Question

Age Problem. Please help. I suck at these.

Abigail is 8 years older than Cynthia. Twenty years ago, Abigail was three times as old as Cynthia. How old is each now?

Answer 1

let Cynthia's age be C, then Abigail's age A

since Abigail is 8 years older, her age A = C+8.

20 years ago Cynthia's she was C-20 and Abigail was A-20=3(C-20)

A-20=3C-60
A=3C-40
but we just said A=C+8
so 3C-40=C+8
2C=48
C=24
A=24+8=32

Cynthia's age is 24 and Abigail's age is 32