PRC-2 · Chapter 1 · Question 16 of 45
The product of two positive integers is 45 and when added together the result is 14. Find the integers.
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: B) 5 and 9
Explanation
Let the numbers be x and (14 - x). Their product is x(14 - x) = 45, which simplifies to the quadratic equation x^2 - 14x + 45 = 0. Factoring this yields (x - 5)(x - 9) = 0, giving the integers 5 and 9.
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