Question

the sum of the numerator and denominator of a fraction is 12. If 1 is added to both numerator and denominator, the fraction becomes 2 by 4 find the fraction​

Answer 1

Answer:

let numerator be x

so denominator is 12-x

then,add 1 in both

the numerator is x+1

and denominator is 12-x+1

and given new fraction is 3/4

By question,

or, x+1/12-x+1=3/4

4 (x+1)=3 (12-x+1)

4x+4=36-3x+3

4x+3x=36+3-4

7x=35

x=35/7

x=5

so, numerator is 5

and denominator is 12-5=7

the fraction is 5/7

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