SOLUTION: If a number is added to the numerator of 5/7 and the same number is subtracted from the denominator, the result is 5. Find the number.

Question 1095244: If a number is added to the numerator of 5/7 and the same number is subtracted from the denominator, the result is 5. Find the number.
Found 3 solutions by addingup, algebrahouse.com, MathTherapy:
Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
x+5/7-x = 5
multiply both sides times 7-x:
x+5 = 5(7-x)
x+5 = 35-5x
6x = 30
x = 5
~~~~~~~~~~~~~~~~~~~~~~~~
Check:
5+5/7-5 = 5
10/2 = 5 correct

Answer by algebrahouse.com(1659)   (Show Source): You can put this solution on YOUR website!
x = the number

5 + x
------ = 5
7 - x

5 + x = 5(7 - x) {multiplied each side by (7 - x)}
5 + x = 35 - 5x {used distributive property}
6x = -30 {added 5x and subtracted 5 from each side}
x = 5 {divided each side by 4}

the number is 5

For more help from me, visit: www.algebrahouse.com

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

If a number is added to the numerator of 5/7 and the same number is subtracted from the denominator, the result is 5. Find the number.

Correct answer:
IGNORE anyone who says otherwise, as he/she is WRONG, as is misleading you!
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