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Home > Education > Homework Help > Math & Sciences   »   Middle School Story Problem

 
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Old Jan 22, 2007, 07:39 PM
fishgrlzmom
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Middle School Story Problem

my daughter has this math problem for homework and I can't for the life of me figure out how to do it.

Alex is 35. Burt is 7 and Chris is 5. In how many years will Alex's age be the sum of Burts and Chris's ages?

HELP!

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Old Jan 22, 2007, 07:51 PM   #2  
letmetellu
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Alex will be 58 when Burt is 30 and when Chris 28. Which will happen in 23 years.

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fishgrlzmom disagrees: Thank you for trying, but as this was a problem for my middle school daughter I needed to show her HOW the problem is solved not just give her the answer.
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Old Jan 22, 2007, 09:18 PM   #3  
Capuchin
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letmetellu, the point isnt in the answer, it's in how to do it. Please don't just give answers as that benefits nobody.

fishgrlzmom, you can work it out by forming an equation

35+x = (7+x) + (5+x)

This states that Alex's age (35) plus some number of years x, is equal to Burt's age plus the same number of years x plus Chris' age, plus the same number of years x.
By solving this equation, we can find the value for x.

then expand brackets:

35+x = 7+x+5+x

then simplify the right hand side

35+x = 12+2x

then minus x from both sides

35 = 12+x

then minus 12 from both sides

23 = x

so, in 23 years the condition will be true, which is the answer given above.

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fishgrlzmom agrees: Thank you, I kept trying to multiply X rather than add...silly me, thank you so much!!
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Old Jan 23, 2007, 09:06 PM   #4  
letmetellu
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Sorry I gave the answer. But I didn't know that the daughter didn't know how to work the problem. I thought this was just a mother wondering about the question. But one other thing is sometimes if you know the answer it is easier to find a solution to the problem
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