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WAEC Mathematics 2017 Theory — Question 24

Question 24 of 25 from the West African Examinations Council (WAEC) Mathematics 2017 Theory paper, with the correct answer and a full explanation.

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13(a) The operation (*) is defined on the set of real numbers, R, by x(*)y=(x+y)/2, x,y∈R. (i) Evaluate 3(*)2/5; (ii) If 8(*)y=8¼, find the value of y

Model answer

(i) 3(*)2/5 = (3+2/5)/2 = (17/5)/2 = 17/10 = 1.7. (ii) 8(*)y=(8+y)/2=33/4 → 8+y=33/2 → y=33/2-8=17/2=8½.

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