SOLUTION: Mother and son's age are in the ratio 7:8.father and son's ages in ratio 8:5. Find ratio age of father and mother.

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Question 1037631: Mother and son's age are in the ratio 7:8.father and son's ages in ratio 8:5. Find ratio age of father and mother.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Father and Son in 8+5=13 parts.
Mother and Son in 7+8=15 parts.

Father to Son ratio is 8%2F13 to 5%2F13.
Mother to Son ratio is 7%2F15 to 8%2F15. NO. This cannot be. The mother must be OLDER THAN her son. Make this ratio 8%2F7 instead.


Let f be father's age.
f%2A%285%2F8%29 is son's age.

If son's age is f%288%2F5%29, then use Mother to Son ratio to get Mother's age.
f%285%2F8%29%288%2F7%29---------------------this is 5%2F7