JAMB Mathematics 2021 Objective — Question 15

Question 15 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2021 Objective paper, with the correct answer and a full explanation.

The ages of Habib and Olu differs by 11. If the product of their age is 180 and Habib is older, find Olu's age five years ago

A. 9
B. 20
C. 4Correct
D. 15

Explanation

Let Habib = x, Olu = y. x - y = 11 and xy = 180. Substituting x = 11+y into xy=180 gives y²+11y-180=0, so y = 9 (taking the positive root). Olu's present age is 9, so five years ago Olu was 9 - 5 = 4.

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