Question 907506

The age of a father and son adds up to 37 and the mother's age is 5 times that of the son's .If mom's age is 7 years less than that of the father's, what is the mother age?
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Let mother’s age be M
Then son’s is: {{{(1/5)M}}}, or {{{M/5}}}
Father’s is: M + 7
We then have: {{{M + 7 + M/5 = 37}}}
5M + 35 + M = 185 ------- Multiplying by LCD, 5
5M + M = 185 – 35
6M = 150
M, or mother’s age = {{{150/6}}}, or {{{highlight_green(highlight_green(25))}}}