SOLUTION: The numerator of a fraction is 10 less than the denominator. If 4 is added to each, the value of the resulting fraction is 3/5. Find the original fraction y
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Question 1091606: The numerator of a fraction is 10 less than the denominator. If 4 is added to each, the value of the resulting fraction is 3/5. Find the original fraction y
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
Convert the word problem to math terms:
(x-10+4)/(x+4) = 3/5
Now solve. First cross multiply:
5(x-6) = 3(x+4)
Distributive Properties of Multiplication:
5x-30 = 3x+12
Subtract 3x-30 from both sides:
5x-3x-30-(-30) = 3x-3x+12-(-30)
2x = 42
x = 21
----------------------------
Check:
21-10+4/21+4 = 3/5
15/25 = 3/5 Correct (simplify the 15/25, divide both sides by 5)
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