SOLUTION: Sarah is twice as old as Andy. Mel is nine years older than Sarah. The total of their ages is 94. How old is Mel?

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Question 1043348: Sarah is twice as old as Andy.
Mel is nine years older than Sarah.
The total of their ages is 94. How old is Mel?

Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Sarah is twice as old as Andy.
Mel is nine years older than Sarah.
The total of their ages is 94. How old is Mel?
------
s = 2a
m = s + 9
s + a + m = 94
---------
a = (1/2)s
-------
Substitute for "a" and for "m" and solve for "s"::
s + (1/2)s + s + 9 = 94
2.5s = 85
s = 34 yrs
Ans: Mel = s+9 = 43 yrs
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Cheers,
Stan H.
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Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Sarah is twice as old as Andy.
Mel is nine years older than Sarah.
The total of their ages is 94. How old is Mel?
Let Mel's age be M
Then Sarah's is M - 9, and Andy's is: matrix%281%2C3%2C+%281%2F2%29+%2A+%28M+-+9%29%2C+or%2C+%28M+-+9%29%2F2%29
Since their ages sum to 94, we get: M+%2B+M+-+9+%2B+%28M+-+9%29%2F2+=+94______2M+-+9+%2B+%28M+-+9%29%2F2+=+94
4M - 18 + M - 9 = 188 -------- Multiplying by LCD, 2
5M = 215
M, or Mel is: 215%2F5, or highlight_green%28matrix%281%2C2%2C+43%2C+years-old%29%29