Question 276430
S = Shelly's age
M = Michele's age
S = M + 3 :: Shelly is 3 years older than Michele.
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"Four years ago" their ages will be S-4 and M-4. The sum of their ages was 67.
So, today we can say
S-4 + M-4 = 67
S + M -8 = 67
S + M = 75
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Substitute S = M+3
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(M+3) + M = 75
2M + 3 = 75
2M = 72
M =36
S = M+3 = 39
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Four years ago their ages were:
S = 39 -4 = 35
M = 36 - 4 = 32
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Checking if the sum 4 years ago = 67.
35 + 32 = 67
Yes.
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Answer:
Shelly is 39, and Michele is 36.
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Done