the addition of numerator and denominator of a fraction is 3 less than twice the denominator if the numerator and denominator are decreased by 1 the numerator become half the denominator find the fraction
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• Let Numerator be x
And
• Denominator be y.
So, fraction =
» A.T.Q.
Addition (sum) of Numerator and Denominator of a fraction is 3 less than twice the Denominator.
=> x + y = 2y - 3
=> x = 2y - y - 3
=> x = y - 3 __(1)
• Now
If Numerator and Denominator are decreased by 1 [(x - 1)/(y - 1)]. The Numerator becomes half the Denominator.
=> =
=> =
=> =
=> x - 1 =
=> x - 1 =
=> x = + 1
=> x - 1 =
=> x = + 1
=> x = +
=> x =
=> x =
=> x =
=> 2x = y + 1
=> 2(y - 3) = y + 1 [From equation (1)]
=> 2y - 6 = y + 1
=> 2y - y = 1 + 6
=> y = 7 __(2)
Put value of y in equation (1)
=> x = (7) - 3
=> x = 7 - 3
=> x = 4 __(3)
Fraction =
- ________[ANSWER]
=
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