SOLUTION: Nathan is 8 years older than Steven. Steven is 3 years older than Megan. Megan is 11 years younger than Nathan. The sum of their ages is 65. How old is Megan?

Question 353507: Nathan is 8 years older than Steven. Steven is 3 years older than Megan. Megan is 11 years younger than Nathan. The sum of their ages is 65. How old is Megan?
Found 2 solutions by robertb, mananth:
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
From the given,
(1)
(2)
(3)
(4)
Putting equation (3) into (4), we get

Thus (5)
Putting equation (1) into (5),
,
,
, or .
Thus Steven is 20 years old.
from equation (2), , or .
Therefore megan is 17 yrs old.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Nathan is 8 years older than Steven. Steven is 3 years older than Megan. Megan is 11 years younger than Nathan. The sum of their ages is 65. How old is Megan?
let megan be x years
steven = x+3 years
nathan =x+3+8
...
3x+14=65
3x=51
x=17 Megan
...
steven = x+3=27+3=20
...
Nathan = x+11=27+11=28
...
C H E C K
17+20+28= 65
...
m.ananth@hotmail.ca

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