SOLUTION: Susan is four years older than Matthew. Twice Susan's age plus five times Marks age is equal to 64. What are the ages of Susan and Matthew?

Question 1019990: Susan is four years older than Matthew. Twice Susan's age plus five times Marks age is equal to 64. What are the ages of Susan and Matthew?
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
S = M+4 We'll use this value for S next:
2S+5M = 64 Now substitute for S:
2(M+4)+5M = 64
2M+8+5M = 64
7M = 64-8 = 56
M = 56/7
M = 8
Now we know that Matthew is 8. And the problem says that Susan is 4 years older:
8+4 = 12 is Susan's age.
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Check:
2s+5M = 64
2(12)+5(8)= 64
24+40 = 64 We have the correct answer
J
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