SOLUTION: If a certain number is added to both the numerator and denominator of the fraction 7 _ 9 , the result is 5

SOLUTION: If a certain number is added to both the numerator and denominator of the fraction 7 _ 9 , the result is 5 _ 7 . Find the number.

Question 926557: If a certain number is added to both the numerator
and denominator of the fraction 7
_
9
, the result is 5
_
7
.
Find the number.
Answer by ptfile(81) (Show Source): You can put this solution on YOUR website!
Let x = the number added to numerator and denominator
If a certain number is added to both the numerator
and denominator of the fraction 7/9, the result is 5/7.
(x+7)/(x+9) = 5/7
7(x+7) = 5(x+9)
7x+49 = 5x+45
2x = -4
x = -2
The number is -2.
Check
(-2+7)/(-2+9)= 5/7
5/7 = 5/7
RELATED QUESTIONS
5. IF A CERTAIN NUMBER IS ADDED TO BOTH THE NUMERATOR AND THE DENOMINATOR OF THE FRACTION (answered by ptaylor)

If a certain number is added to both the numerator and denominator of the fraction 8/7,... (answered by josgarithmetic)

if a certain no. is added to the numerator and the denominator of 7/9, the result is 5/6. (answered by Theo,greenestamps)

In a certain fraction, the denominator is 5 more than the numerator. If 4 is added to... (answered by josgarithmetic)

The same number is added to both the numerator and the denominator of the fraction 7/14, (answered by josgarithmetic)

If a number is added to the numerator of 7/9 and the same number is subtracted from the (answered by fractalier)

If a number is added to the numerator of 5/7 and the same number is subtracted from the... (answered by addingup,algebrahouse.com,MathTherapy)

In a certain fraction, the denominator is 2 less than the numerator. If 1 is added to... (answered by ankor@dixie-net.com)

If a number is added to the numerator of 2/7, and twice the number is subtracted from the (answered by ikleyn,MathTherapy)