SOLUTION: Sonya is 22 years younger than he mother. The average of their ages is 16. What is Sonya's age and her mothers name?

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Question 1102130: Sonya is 22 years younger than he mother. The average of their ages is 16. What is Sonya's age and her mothers name?
Found 3 solutions by stanbon, greenestamps, richwmiller:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Sonya is 22 years younger than he mother. The average of their ages is 16. What is Sonya's age and her mothers name?
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S = M-22
(S+M)/2 = 16
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Solve for "S"::
Note:: M = S+22
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Substitute for "M" and solve for "S"::
(S + S+22)/2 = 16
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2S + 22 = 32
2S = 54
Sonya = 27 yrs old
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Cheers,
Stan H.
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Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Oops! Tutor stanbon has an error at the end of his work, resulting in a wrong answer....

The average of the 2 ages is 16, so their sum is 32.

If Sonya is 22 years younger than her mother, then
m+%2B+%28m-22%29+=+32
2m-22+=+32
2m+=+54
m+=+27

The mother is 27; Sonya is 27-22 = 5.

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
continuing stan's solution where he erred
2S + 22 = 32
2S = 10
Sonya = 5 yrs old
Mother 5+22=27