The denominator of a fraction is 5 more than it's numerator. If the numerator is decreased by 1 and tge denominator is increased by 2, the resulting number is 1/5. Find the original number
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Step-by-step explanation:
Let the numerator be x
Then denominator be ( x + 5)
The rational number = x/x+5
A/Q:-
=> x-1 /( x +5)+2 = 1 /5
=>x-1 /x+7 = 1 /5
=> 5 ( x-1) = 1 (x+7)
=> 5x - 5 = x + 7
=> 5x - x = 7 +5
=> 4x =12
x = 12/4
x = 3
Numerator = x = 3
Denominator =x + 5 = 3 + 5 = 8
Original no. = 3/8
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