Ashifur August 8, 2023 - 17:12
Problem: The value of a fraction is$\frac{2}{5}$ . If the numerator is decreased by 2 and the denominator increased by 1, the resulting fraction is equivalent to $\frac{1}{4}$ . Find the numerator and the denominator of the original fraction.

View all: BANGLADESH KRISHI BANK | SENIOR OFFICER | WRITTEN MATH QUESTION SOLVE | 2011

Correct Answer: Numerator =  6Denominator =  15

Explanation:

Let, Numerator = 2x

& Denominator = 5x

$\frac{2x-2}{5x+2}=\frac{1}{4}$

8x — 8 = 5x + 1

8x — 5x = 1+ 8

3x = 9

x = 3

Numerator = 2x = 2 x 3 = 6

Denominator = 5x = 5 x 3 = 15

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