# Math

posted by Kristen

Loretta's age now is twice John's age five years ago. In three years the sum of John's and Loretta's ages will be 50. How old are Loretta and John today?

1. Reiny

John's present age ---- x
John's age 5 yrs ago = x-5

Loretta's present age = 2(x-5)

in 3 yrs from now:
John = x+3
Loretta = 2(x-5) + 3

x+3 + 2(x-5)+3 = 50
x+3 + 2x - 10 + 3 = 50
3x = 54
x = 18

NOW:
john = x = 18 yrs
Loretta = 2(x-5) = 26 yrs

check:
5 years ago, John was 13, which is twice Loretta's present age. Checks out!
in 3 yrs from now:
john + loretta = 21 + 29 = 50, all is good!

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