SOLUTION: In 3 years, Susan will be three times as old as his daughter. Three years ago, the sum of their ages was 56. What is the daughter's age now?

Question 1151350: In 3 years, Susan will be three times as old as his daughter. Three years ago, the sum of their ages was 56. What is the daughter's age now?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
m, Susan the mother
d, daughter

Answer by ikleyn(52800)   (Show Source): You can put this solution on YOUR website!
.
In 3 years, Susan will be three times as old as her daughter. Three years ago, the sum of their ages was 56.
What is the daughter's age now?
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m, Susan the mother d, daughter From the description, you have this system of 2 equations m + 3 = 3*(d+3), (1) (m-3) + (d-3) = 56. (2) From equation (1), express m = 3d + 6 and substitute it into equation (2). You will get ((3d+6) - 3) + (d-3) = 56, 4d = 56 d = 56/4 = 14. ANSWER. The daughter is 14 years old now.

Solved.

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The solution and the answer by @josgarithmetic, giving 28 years for the daughter, is   W R O N G.

For your safety, ignore it (!)

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