SOLUTION: At present Allen is 10 years younger than Scott. Ten years from now, Scott’s age will be 3 times the present age of Allen. Find the present age of Allen and Scott.
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Question 1131613: At present Allen is 10 years younger than Scott. Ten years from now, Scott’s age will be 3 times the present age of Allen. Find the present age of Allen and Scott. Found 2 solutions by addingup, ikleyn:Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website! A = S-10
A+10 = 3A
S-10+10 = 3(S-10)
S = 3S-30
-2S = -30
S = 15
and A = 15 - 10 = 5
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Check:
A+10 = 3A
5+10 = 3(5)
15 = 15 Correct
Since the solution by @addingup is ABSOLUTELY WRONG, I came to bring the correct solution.
A = S-10 (1)
S+10 = 3A (2)
Substitute expression A = S-10 from eq(1) into eq(2), replacing A in equation (2).
S + 10 = 3*(S-10)
S + 10 = 3S - 30
10 + 30 = 3S - S
2S = 40 ====> S = 40/2 = 20.
ANSWER. Scott is 20 years now. Allen is 20-10 = 10 years now.
Check. Eq(1): A = S-10: 10 = 20-10 ! Correct !
Eq(2): S+10 = 3A: 20+10 = 3*10 ! Correct !
