# SOLUTION: Jim and his daughter's combined age is 31. Jim is exactly 30 years older than his daughter. How old is his daughter?

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 Question 392205: Jim and his daughter's combined age is 31. Jim is exactly 30 years older than his daughter. How old is his daughter?Answer by stanbon(60778)   (Show Source): You can put this solution on YOUR website!Jim and his daughter's combined age is 31. Jim is exactly 30 years older than his daughter. How old is his daughter? -------------- Equations: j + d = 31 j = d + 30 ---- Substitute for for "j" and solve for "d": d+30+d = 31 2d = 1 d = 1/2 (daughter = 6 months) ----- Solve for "j": j = d+30 j = (1/2) + 30 j = 30 yrs and 6 months (jim's age now) =========================================== Cheers, Stan H. =========