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Which two numbers have a sum of 15 and a product of 36

User ZaTricky
by
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1 Answer

2 votes

Answer: 3 and 12

Explanation:

Let x represent one of the numbers and y represent the other number. Then,

Sum: x + y = 15 → y = 15 - x

Product: xy = 36


Use substitution method by replacing "y" with "15 - x" in the second equation, then solve for x:

x(15 - x) = 36

15x - x² = 36

0 = x² - 15x + 36

0 = (x - 3)(x - 12)

0 = x - 3 and 0 = x - 12

x = 3 x = 12

User Edu Zamora
by
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