⦁ If we add 5 to the denominator and subtract 5 from the numerator of a fraction, it becomes . If we subtract 3 from the numerat

Question

vovikov84 [41]

3 years ago

13

⦁ If we add 5 to the denominator and subtract 5 from the numerator of a fraction, it becomes . If we subtract 3 from the numerat

or and add 3 to its denominator, it reduces to . Find the fraction.correct will win the brainliest

Mathematics

1 answer:

natima [27] · Answer 1 · 2022-01-19T17:18:17+03:00

the complete question is

If we add 5 to the denominator And subtract 5 from the numerator of a fraction ot reduces to 1/7. if we subtract 3 from the numerator and add 3 to its denominator ot reduces to 1/3. find the fraction.

Let

x/y-----------> the fraction

we know that

(x-5)/(y+5)=1/7------>7*(x-5)=(y+5)-----> y=7x-35-5----> y=7x-40----> equation 1

(x-3)/(y+3)=1/3----> 3*(x-3)=y+3----> y=3x-9-3----> y=3x-12------> equation 2

equate equation 1 and equation 2

7x-40=3x-12-----> 7x-3x=40-12------> 4x=28-----> x=7

y=3x-12------> y=3*7-12-----> y=9

x/y=7/9

the answer is

the fraction is 7/9