SOLUTION: Five years from now, Michael's grandmother will be seven times as old as Michael was two years ago. If their combined present ages is 61. How old is each one now?

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Question 814931: Five years from now, Michael's grandmother will be seven times as old as Michael was two years ago. If their combined present ages is 61. How old is each one now?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Five years from now, Michael's grandmother will be 

seven times as old as Michael was two years ago.

their combined present ages is 61

Let x and (61-x) represent the grandmother's and Michael's ages NOW respectively

Question states***

+x+%2B+5+=+7%2861-x+-+2%29  ***

Solving for x

   8x = 408

    x = 51, grandmother's age now.   and Michael is NOW 10

CHECKING our Answer***

  51+%2B+5+=+7%2A%2810-2%29