Question

2. If we add 1 to numerator and subtract 1 from the denominator, a
fraction becomes 1. It also becomes , if we only add I to the
denominator. What is the fraction? [By method of substitution)​

Answer 1

LET NUMERATOR BE x

LET DENOMINATOR BE y

x + 1/y - 1 = 1

x - y = -2

x = 2-y        -------1  

x/ y + 1  =  1/2    

2x - y = 1     ---------2

SUBSTITUTE 1 IN 2

2(2-y) - y = 1

4 - 2y - y = 1

4 - y = 1

y = 4 - 1

y = 3

NOW, SUBSTITUTE y IN 1

x = 2 - 3

x = -1

THEREFORE, x = -1

                      y = 3

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