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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23-11-2016
Mathematics

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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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ampofoeugenia7 ampofoeugenia7 · Answer 1 · 2016-11-24T20:42:17+01:00

ampofoeugenia7 ampofoeugenia7

24-11-2016

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

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