Question
The numerator of a fraction is 7 less than its
denominator. If the numerator is decreased by 2 and the denominator is increased by 5, then the denominator is 8 times the numerator. Find the fraction?Solution
Let denominator be x and then numerator be x – 7 ∴ 8 (x – 7 – 2) = x + 5 8 (x – 9) = x + 5 8x – 72 = x + 5 x = 77 /7 = 11 Fraction = 4 /11
Solve for x in the equation: 3(x + 2) + 2(2x - 5) = 5x + 9
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