SOLUTION: Matt is twice as old as his daughter Sally. Ten years ago, the sum of their ages was 31. How old is each person now?

Question 987185: Matt is twice as old as his daughter Sally. Ten years ago, the sum of their ages was 31. How old is each person now?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Matt is twice as old as his daughter Sally.
M = 2S
Ten years ago, the sum of their ages was 31.
M - 10 + S - 10 = 31
Replace M with 2S from top equation
2S - 10 + S - 10 = 31
Collect like terms
3S = 31 + 20
3S = 51
S = 17
Matt is 34 years old
Sally is 17 years old
Hope this helps :-)
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