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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]3 years ago
5 0

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

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