The numerator of a fraction is six more than its denominator. If the numerator is increased by 5 and the denominator is decreased by 1, the fraction becomes 3/2. Find the fraction
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Step-by-step explanation:
Let numerator be x and denominator y.
given, x = y + 6 ----- (i)
x + 5 / y -1 = 3/2
=> y + 6 + 5 / y - 1 = 3/2
=> 2(y + 11) = 3( y - 1)
=> 2y + 22 = 3y - 3
=> 3y - 2y = 3 + 22
=> y = 25.
substitute value of y in (i),
x = 25+ 6 = 31.
Thus the fraction is 31/25.
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