WAEC Mathematics 2014 Theory — Question 14
Question 14 of 23 from the West African Examinations Council (WAEC) Mathematics 2014 Theory paper, with the correct answer and a full explanation.
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8(b). When a fraction is reduced to its lowest term, it is equal to ¾. The numerator of the fraction when doubled would be 34 greater than the denominator. Find the fraction.
Model answer
Let the fraction be 3k/4k (lowest terms 3:4). Doubling numerator: 2(3k) = 6k. This is 34 greater than the denominator: 6k = 4k+34 2k=34 k=17 Fraction = 3(17)/4(17) = 51/68
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