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?

Algebra ->  Customizable Word Problem Solvers  -> Age -> 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?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

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) About Me  (Show Source):
You can put this solution on YOUR website!
From the given,
n+=+s+%2B+8 (1)
s+=+m+%2B+3 (2)
m+=+n+-+11 (3)
n+%2B+s+%2B+m+=+65 (4)
Putting equation (3) into (4), we get
n+%2B+s+%2B%28n+-+11%29+=+65
Thus 2n+%2B+s+=+76 (5)
Putting equation (1) into (5),
2%2A%28s%2B8%29%2B+s=+76,
2s+%2B+16+%2Bs+=76,
3s+=+60, or s+=+20.
Thus Steven is 20 years old.
from equation (2), 20+=+m+%2B+3, or m+=+17.
Therefore megan is 17 yrs old.

Answer by mananth(16946) About Me  (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