Example 18. The sum of the munerator and denominator of a fraction is 3 less than twice the denominator. If the numerator and denominator are decreased by 1, the numerator becomes half the denominator. Determine the fraction.
Solution: - Let numerator be x and denominator be y
A/Q x + y = 2y - 3
or, x - y + 3 = 0 -------------(1)
and x - 1 = 1/2(y - 1)
or, 2x - y - 1 = 0 ---- -----(2)
Subtracting equation (1) form (2) we get
x = 4
From (1) 4 - y + 3 = 0
y = 7
Fraction = x/y = 4/7
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