SOLUTION: After a certain number is diminished by 8, the amount remaining is multiplied by 8; the result is the same if the number were diminished by 6 and the amount remaining multiplied by
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Question 660114: After a certain number is diminished by 8, the amount remaining is multiplied by 8; the result is the same if the number were diminished by 6 and the amount remaining multiplied by 6. What is the number?
Answer by kevwill(135) (Show Source): You can put this solution on YOUR website!
Let x be the number we're looking for. Then, from the problem statement:
8*(x-8) = 6*(x-6)
Expanding:
8x - 64 = 6x - 36
Subtracting 6x - 64 from both sides:
8x - 64 - (6x - 64) = 6x - 36 - (6x - 64)
8x - 64 - 6x + 64 = 6x - 36 - 6x + 64
2x = 18
x = 14
Checking:
8*(14 - 8) = 8*6 = 48
6*(14 - 6) = 6*8 = 48
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