Posted by **Kristen** on Wednesday, January 22, 2014 at 7:29pm.

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?

- Math -
**Reiny**, Wednesday, January 22, 2014 at 8:01pm
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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