Question 1113644: Tanya is 12 years older than Leah. Three years ago, Tanya was five times as old as Leah. How old is Leah? Answer by ikleyn(52781) (Show Source):
T = L + 12 (1)
T-3 = 5*(L-3) (2)
Substitute (1) into eq(2). You will get
(L + 12) - 3 = 5*(L-3)
L + 9 = 5L - 15
9 + 15 = 5L - L
24 = 4L.
L = 24/4 = 6.
Answer. Leah is 6 years old.
