Question

Denominator of a rational number exceeds its numerator by 8. If 7 is added to its numerator and denominator, then the number becomes 3 /4 . Find the rational number?​

Answer 1

Answer:

numerator = 13

denominator = 21

rational no. = 13 / 21

Step-by-step explanation:

let the numerator be x

let the denominator be x+8

ATQ,

x+17/x+8-1=3/2

2(x+17)=3(x+8-1)

2x+34=3x+24-3

2x-3x=24-3-34

-1x=24-37

-1x=-13

×=-13/-1

x=13 (minus will cut minus so the 13 will be positive)

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