Posted by **Vince** on Monday, May 31, 2010 at 2:47pm.

Mary's age is 2/3 that of peter's. Two years ago Mary's age was 1/2 of what Peter's age will be in 5 year's time. How old is peter now?

- Math -
**MathMate**, Monday, May 31, 2010 at 8:50pm
Let P=peter's age, and

M=Mary's age.

M=(2/3)P.... (1)

Two years ago, Mary's age was M-2, and it was what Peter's age *will* be in 5 years time (P+5)/2

Therefore

M-2 = (P+5)/2

Substitute M from (1)

(2/3)P-2 = (P+5)/2

Solve for P to get P=27, and M=18

## Answer This Question

## Related Questions

- Mathematics - Mary's age is 2/3 that of Peter's. Two years ago Mary's age was 1/...
- MAth grade 8 - mary's age is 2/3 of peter's. Two years ago mary's age was 1/2 of...
- math - mary's age is (2\3) that of peter's .two years ago mary's age was (1\2) ...
- math - Mary's age is 2/3 that of peter's. two years ago mary's age was 1/2 of ...
- maths - On 1 Jan 2007, Peter celebrates his 30 year old birthday. As a birth ...
- Math - Mary is as old as Mario will be when Mary is twice as old as Mario was ...
- algebra - if mary's age is x years.what will be the present age of mary's niece ...
- math - Mary is 3 times as old as her son.In 12 years,Mary's age will be one less...
- Math - Peter is three times as old as Sue, who is four years older than Joe. In ...
- math - Mary and Peter had a total of Rs 480.After Peter spent Rs 20, he had 3 ...

More Related Questions