# A father is four times as old as his daughter. In 7 yrs, he will be three times as old as she is. How old is the daughter now?

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by ynnahclaire

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by ynnahclaire

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so the father's age is 4X

in seven years both of their ages are now seven years more so

Father = 4X + 7 Daughter = X + 7

And the father is now three times older than his daughter so

4X + 7 = 3 (X + 7)

then

4X + 7 = 3X + 21

subtract 7 and 3 x from both sides and you get

4X - 3X = 21 - 7

so

X equals 14

the daughter is 14