Question

A fraction becomes 1/5 when 3 is added to both numerator and denominator. If
1 is subtracted from the numerator and 1 is added to the denominator, then it
becomes 1/6 Find the fraction.​

Answer 1

Answer:

Step-by-step explanation:

Let the fraction be x / y

1 case,

X+3 ÷ y+3 = 1÷5

On cross multiply

5(x+3) = 1×(y+3)

5x + 15 = y+3

5x + 15-3 = y

Y = 5x + 12 ...........1

2 case,

X - 1÷ y+1 = 1/6

On cross multiply

6(x-1) = 1×(y+1)

6x-6 = y+1

Putting value of y

6x - 6 = 5x + 12 +1

6x - 5x = 13 +6

X = 19

Y = 5x + 12

= 5×19 +12

= 95 + 12 = 107

Fraction becomes = 19 ÷ 107

Hope it works

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