Question

(a) 40
( 0
A fraction becomes (5/2) when 3 is added to both the numerator and the denominator and it
becomes 4 when 1 is subtracted from both the numerator and denominator. The numerator of
the given fraction is:
(c) 15
(d) 17
(b) 14
(a) 13

Answer 1

Answer:

First case

The fraction is = 5/2

The Denominator = The Numerator

Let both the numerator and denominator be x

ATQ, x+3/x+3=5/2

After this step we have to do cross multiplication as shown in the chapter of ratio and proportion if you have done it

Or, 2(x+3)=5(x+3)

Or, 2x+6=5x+15

Or, 2x-5x=15-6

Or, -3x=9

Or, x=9/-3

Or, x=-3

In this case the value of both the numerator and denominator x is -3

Second case

The Numerator = The Denominator

The result is 4

ATQ, x-1/x-1=4

We simply do cross multiplication after this step

Or, x-1=4(x-1)

Or, x-1=4x-4

Or, x-4x=-4+1

Or, -3x=-3

Or, x=-3/-3

Or, x=1

In this case the value of both the numerator and the denominator is 1