Question 185090: In 15 years, Maya will be twice as old as David is now. In 15 years, David will be as old as Maya will be in 10 years from now. How old re Maya and David now?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In 15 years, Maya will be twice as old as David is now.
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In 15 years, David will be as old as Maya will be in 10 years from now.
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How old are Maya and David now?
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Now DATA:
Let Maya be "m"; Let David be "d".
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15 years from now DATA:
Maya will be "m+15"; David will be "d+15"
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EQUATIONS:
(m+15) = 2d
(d+15) = m+10
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Rearrange the equations:
m - 2d = -15
m - d = 5
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Subtract the 1st equation from the 2nd and solve for "d":
d = 20 (David's age now)
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Substitute in m - d = 5 to solve for "m":
m - 20 = 5
m = 25 (Maya's age now)
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Cheers,
Stan H.
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