Question

15. A fraction becomes 2/3
when 5 is added to numerator
and 8 is added to denominator
but if we subtract 3 from
numerator and add 1 to
denominator it becomes 1/4.
Find fraction.​

Answer 1

Answer:

Fraction = 5/7

Step-by-step explanation:

Let the numerator be x.

denominator = y

$==: \frac{x+5}{y+8} = \frac{2}{3} \\==: 3(x + 5) = 2(y + 8)\\==: 3x + 15 = 2y + 16\\==: 3x - 2y = 1 ..........................(i)\\\\==: \frac{x-3}{y+1} = \frac{1}{4} \\==: 4(x - 3) = y + 1\\==: 4x - 12 = y + 1\\==: 4x - y = 13 ........................(ii)$

From (i) and (ii) we get,

x = 5 and y = 7

Fraction = 5/7

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