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?

Answer 1

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!