SOLUTION: Michael is 3 times as old as Brandon. 18 years ago, Michael was 9 times as old as Brandon. how old is michael now

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Question 1048988: Michael is 3 times as old as Brandon. 18 years ago, Michael was 9 times as old as Brandon. how old is michael now

Found 3 solutions by jorel555, advanced_Learner, ikleyn:
Answer by jorel555(1290)   (Show Source):
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Let b represent Brandon's age 18 years ago. Then Michael would be 9b. So
3(b+18)=9b+18
3b+54=9b+18
6b=36
b=6
Brandon was 6 18 years ago, so Michael was 54. Now they are 24 and 72, respectively. ☺☺☺☺

Answer by advanced_Learner(501)   (Show Source):
You can put this solution on YOUR website!
.....

Answer by ikleyn(52799)   (Show Source):
You can put this solution on YOUR website!
.
Michael is 3 times as old as Brandon. 18 years ago, Michael was 9 times as old as Brandon. How old is Michael now?
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Let B be Brandon's age now. Then Michael's age now is 3B. 18 years ago, Michael was 3B-18 years old. Brandon was B-18 years old. And the condition says 3B-18 = 9*(B-18). Simplify and solve: 3B- 18 = 9B - 9*18, 9*18 - 18 = 9b - 6B, 144 = 6B, B = = 24. Answer. Brandon is 24 years old now. Michael is 72 years old now.

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