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!

## Answer This Question

## Related Questions

- math - A. John is now 10 years older than Marcus. Three times John's age 5 years...
- math - A. Brad is 12 years older than Sam . If Brad were 8 years older than he ...
- math - John's age is seventeen years less than twice Isabella's age. Together, ...
- Math - The sum of John's age and twice of his son's age is 56. In 8 years time, ...
- math - I need help with this question for school tom. "Tisha is five years older...
- math - John's age is seventeen years less than twice Isabella's age. Together, ...
- maths - the ratio of john's age to Mike's age is 7:4. In 10 years time Mike will...
- math - one half of what john's age was 4 years ago is equal to on of thrid of ...
- Mathematics - A half of what John's age was 4 years ago is equal to one third of...
- Math - John's present age is five years more than thrice the present age of his ...

More Related Questions