If a certain number is added to the numerator and denominator of 5/11, the result is 7/10. find the number.

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asked Oct 1, 2017 11.5k views

1 Answer

Alex Angelico · Answer 1 · 2017-10-07T11:27:11+0000

let's represent the number by x.
x+5/x+11=7/10 (cross multiply) 9+5/9+11=14/20=7/10
(x+5)*10=(x+11)*7
10x+50=7x+77
10x+50-50=7x+77-50
10x=7x+27
10x-7x=27
3x=27
3x/3=27/3
x=9
therefore the number is 9

If a certain number is added to the numerator and denominator of 5/11, the result is 7/10. find the number.

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