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.
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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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