SOLUTION: Sues' current age is 1/3 of his fathers' age. In another 25 years Sues' age will be 1/2 of his fathers' age. What is the current age of Sues' father

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Question 1064933: Sues' current age is 1/3 of his fathers' age. In another 25 years Sues' age will be 1/2 of his fathers' age. What is the current age of Sues' father
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!
Let S=Sue's age
Let F=Her father's age

S = F/3 (1)
S+25 = (F+25) / 2 (2)
(1) —> 3S = F
(2) —> 2S+50 = F+25 —> 2S+25 = F
Subtract the last version of (2) from the last version of (1) (that makes F vanish):
3S - (2S+25) = 0
S - 25 = 0
S =25 —> F (=3S) = 75

Ans: Sue's father is years old

Check: in 25 years, Sue will be 50, and her father will be 100, and 100/2 = 50 (ok)
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