SOLUTION: Michael. Is 1/3 of his fathers age in 13 years he will be half his fathers age how old is Michael now ?

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Question 1121287: Michael. Is 1/3 of his fathers age in 13 years he will be half his fathers age how old is Michael now ?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
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Michael. Is 1/3 of his fathers age in 13 years he will be half his fathers age how old is Michael now ?
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This way:
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Michael is 1/3 of his fathers age. In 13 years he will be half his father's age. How old is Michael now ?
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Michael, f/3
Father, f
f%2F3%2B13=%28f%2B13%29%2F2
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2f%2B6%2A13=3%28f%2B13%29
2f%2B78=3f%2B39
78-39=f
f=39

Michael, f%2F3=39%2F3=highlight%2813%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Michael. Is 1/3 of his fathers age in 13 years he will be half his fathers age how old is Michael now ?
Let Michael be M

Then father is 3M

In 13 years, father will be 3M + 13, and Michael, M + 13

We then get: 3M + 13 = 2(M + 13)

3M + 13 = 2M + 26

3M - 2M = 26 - 13

M, or Michael is: highlight_green%28matrix%281%2C2%2C+13%2C+%22years-old%22%29%29