Question

11. The numerator of a fraction is 8 less than its
denominator. If 2 is added to both numerator and
11
denominator, fraction becomes Find the fraction.
19​

Answer 1

Hello there

here's your answer

let the fraction be of the form

$\frac{x}{y}$

according to question

x+8 = y

$\frac{x + 2}{x + 8+ 2} = \frac{11}{19}$

$\frac{x + 2}{x + 10} = \frac{11}{19}$

$(x + 2) \times 19 = (x + 10) \times 11$

19x + 38 = 11x +110

8x = 72

x = 9

y = 9+8 = 17

therefore the fraction is

$\frac{9}{17}$

hope it helps you

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