the denominator of a fraction is 6 more than its numerator if 2 is added to both the numerator and denominator the fraction becomes 1/2 find the fraction
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Step-by-step explanation:
imaishukrish:
i didnt get the answer
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let numerator = x, and denominator = y
given denominator = 6+x
so, y = 6+x..(1)
and when two added numerator and denominator
==> x+2/y+2 = 1/2
==> 2(x+2) = 1(y+2)
==> 2x+4 = y+2
==> 2x-y = -2..(2)
substitute value of y in eq(2)
==> 2x-y = -2
==> 2x -(6+x) = -2
==> 2x-6-x = -2
==> x-6 = -2
==> x = 4
and denominator y = x+6
so, denominator = y = 4+6 ==> 10
so, fraction is ==> x/y ==> 4/10
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