Question

the sum of the numerator and denominator of a fraction is 4 more than twice the number. if the numerator and denominator are increased by 3, they are in the ratio 2:3 .find the fraction by elimination method
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Answer 1

Answer:

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Step-by-step explanation:

let the required fraction be x/y

wherein numerator be x and that of denominator be y

so according to first condition

numerator+denominator=2×numerator+4

ie x+y=2x+4

so y=x+4 (1)

according to the second condition

x+3/y+3=2/3

so x+3/x+4+3=2/3 from (1)

so x+3/x+7=2/3

ie 3(x+3)=(x+7)×2

ie 3x+9=2x+14

so x=5

substitute value of x in (1)

we get y=9

so our assumed fraction=x/y

=5/9

thus required fraction is 5/9