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. I've tried using multip

Question 7089: 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.
I've tried using multiples of 3/5 and subtracting 4 from the numerator and denominator hoping it will give me a solution where the numerator is 10 less than the denominator but I want a faster way of figuring this problemo ut just in case I ever get it on a test.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
You could use this approach:
Let d = the denominator.
Simplify then cross-multiply.

Simplify and solve for d.
Subtract 3d from both sides.
Add 30 to both sides.
Divide both sides by 2.
d = 21
The original fraction is:
or

This is the original fraction.
Check:
Adding 4 to the numerator and to the denominator, we get:

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