SOLUTION: a fraction has a denominator that is 2 more than its numerator. if the numerator is doubled and 5 is added to the denominator, the result would be1. what is the original fraction

Algebra.Com
Question 499561: a fraction has a denominator that is 2 more than its numerator.
if the numerator is doubled and 5 is added to the denominator, the result would be1.
what is the original fraction?

Answer by oberobic(2304)   (Show Source): You can put this solution on YOUR website!
x = numerator
x+2 = denominator
.
2x is the doubled numerator
x+2+5 is five added to the denominator

cross multiply (the 1 can be viewed as 1/1)

subtract x from both sides

.
substitute to find the original denominator

.
Original fraction was 7/9.
.
Done.

RELATED QUESTIONS

The numerator of a fraction is 5 less than its denominator. If 6 is added to the... (answered by mananth)
The numerator of a certain fraction is 3 less than its denominator. If 6 is added to... (answered by josgarithmetic,MathTherapy)
The denominator of a fraction is 5 more than twice the numerator. If the numerator is... (answered by ankor@dixie-net.com)
the denominator of a fraction is 5 more than the numerator. if 5 is added to the... (answered by ankor@dixie-net.com)
A fraction is equivalent to 1/3 if its numerator decreases by 2 and its denominator... (answered by Theo)
The denominator of a fraction is 4 more than the numerator. If 2 is added to both the... (answered by Alan3354,greenestamps)
The numerator of a fraction is 5 less than 3 times its denominator. If 2 and 4 are added... (answered by ankor@dixie-net.com)
the denominator of a fraction is 4 more than the numerator. if 4 is added to the... (answered by ptaylor,chen.aavaz)
the denominator of a fraction is 4 more than the numerator. If 4 is added to the... (answered by josgarithmetic)