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):
Answer by ikleyn(52799)  (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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