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) About Me  (Show Source):
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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

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Ans:  Sue's father is highlight%2875%29 years old

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