Question

the numerator of a fraction is four less than its denomination. if one added to both gives 1/2.find the fraction

Answer 1

Let the numerator be x & denominator be y Fraction = numerator/denominator = x/y ATQ CASE 1 : x = y - 4 x- y = - 4 …………..(1)

CASE 2 : 8(x - 2) = y + 1 8x - 16 = y + 1 8x - y = 17………... (2)

On Subtracting eq (2) from (1) x - y = - 4 8x - y = 17 (-) (+) (-) -----------------7x = -21 x = 21/7 x = 3

Put x = 3 in eq 1, x - y = - 4 3 - y = - 4 y = 3 + 4 = 7 y = 7

x = 3 y = 7

Fraction = x/y = 3/7 Hence, the fraction is 3/7.

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