SOLUTION: Please help me with solving this word problem: Renee is 24 years younger than her mother the sum of their ages are 54 How old is Renees mom?

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Question 262251: Please help me with solving this word problem: Renee is 24 years younger than her mother the sum of their ages are 54 How old is Renees mom?
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Let A = Age or Renee
Let B = Age of the mom
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Equation 1: B+=+A+%2B+24
Equation 2: A+%2B+B+=+54
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Solution:
Replace B in equation 2 with (A + 24)
Equation 2: A+%2B+B+=+54
A+%2B+%28A+%2B+24%29+=+54
Simplify
2A+%2B+24+=+54
Subtract 54 from both sides
2A+=+30
Divide both sides by 2
highlight%28A+=+15%29
Now plug 15 into equation 1 for A
Equation 1: B+=+A+%2B+24
B+=+15+%2B+24
Combine like terms
highlight%28B+=+39%29
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You can check the answer by placing your values back into equation 2
Equation 2: A+%2B+B+=+54
15+%2B+39+=+54
highlight%2854+=+54%29