The numerator of a fraction is 15 less than twice its denominator. If the numerator is increased by 5 and the denominator is increased by 7, the new fraction will be equal to 2/…

Question

asked Jul 1, 2020 142k views

2 Answers

Vinod Vutpala · Answer 1 · 2020-07-07T04:38:43+0000

Answer:

7/11

Explanation:

Let d represent the original denominator. Then the original numerator is ...

2d-15

The new numerator is ...

(2d-15) +5

and the new denominator is ...

d+7

The ratio of these is 2/3, so we have ...

$(2d-15+5)/(d+7)=(2)/(3)\\\\3(2d-10)=2(d+7) \quad\text{cross multiply}\\\\4d=44 \quad\text{add 30-2d}\\\\d=11\\\\2d-15=2(11)-15=7$

The original fraction is 7/11.