Question

Fraction becomes 2/3 when 1 is added to both, its numerator and denominator. and, it becomes 1/2 when 1 is subtracted from both the numerator and denominator. find the fraction. *

Answer 1

Answer:

Step-by-step explanation:

Let the original fraction be x / y  

Then, (x+1) / (y+1) = 2/3 (given)

So, 3x +3 = 2y +2

Or, 3x- 2y = 2–3 = -1

Or, 3x - 2y = -1. Eq.1

Also,

(x-1) / (y-1) = 1/2 (given)

So, 2x-2 = y-1

Or, 2x - y = -1 + 2 = 1

Or, 2x- y = 1 Eq. 2

Multiplying EQ. 2 by 2, we have:

4x - 2y = 2 Eq. 3

Subtracting EQ. 1 from EQ. 3, we get:

x=3

Substituting the value of x in EQ.1, we get:

9- 2y = -1

Or, 2y = 9+1 = 10,

Or, y = 5.

So, the original fraction ( x / y ) is 3 / 5

Hope it helps uh...

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