SOLUTION: Michael is 6 years older than Monique. In 3 years the sum of their ages will be 54. How old is Michael now?

SOLUTION: Michael is 6 years older than Monique. In 3 years the sum of their ages will be 54. How old is Michael now?

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Question 705167: Michael is 6 years older than Monique. In 3 years the sum of their ages will be 54. How old is Michael now?
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Michael age x,
Monique age y.
"Today": x=y+6
"In three years...": (x+3)+(y+3)=54

Try substituting x from Today into the threemoreyears equation.
(y+6+3)+(y+3)=54
y+9+y+3-54=0
2y+12-54=0
y+6-27=0
y-21=0
y=21. x=21+6=27
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