Question

the sum of numerator and denominator of a fraction is 4 more than twice the numerator . if the numerator and dwnominator are incresed by 3 they are in the ratio 2:3 .find the fraction​

Answer 1

Let the numerator be x and denominator be y. A/Q x + y = 4 + 2x → - x + y = 4 ... (1)

Let the numerator be x and denominator be y. A/Q x + y = 4 + 2x → - x + y = 4 ... (1) multiplying each term by 2, 2x-2y= -8 .... (2)

Let the numerator be x and denominator be y. A/Q x + y = 4 + 2x → - x + y = 4 ... (1) multiplying each term by 2, 2x-2y= -8 .... (2) Also, (x+3) / (y+3) = 2 / 3 → 3x - 2y = -3 ........ (3)

Let the numerator be x and denominator be y. A/Q x + y = 4 + 2x → - x + y = 4 ... (1) multiplying each term by 2, 2x-2y= -8 .... (2) Also, (x+3) / (y+3) = 2 / 3 → 3x - 2y = -3 ........ (3) Subtracting (2) from (3) → x = 5 and by putting this in (1) we can get y=9. Hence, the fraction is 5 / 9