Question 1113932: The sum of Sherry and her dad’s ages is 60 now . In 12 years , Sherry will be half as old as her dad. What is Sherry’s age? Answer by ikleyn(52781) (Show Source):
From the condition, you have these 2 equations
S + D = 60. (1)
S+12 = (2)
From eq(1), express S = 60-D and substitute it into (2), replacing S. You will get
(60-D) + 12 =
2*(72 - D) = D + 12
144 - 2D = D + 12
144- 12 = D + 2D ====> 132 = 3D ====> D = = 44.
Answer. Dad is 44 years old now. Sheril is 60-44 = 16 years old.