Question

Two positive integers have a sum of 15 and a
product of 36. What are the integers?

Answer 1

• 12 and 3

Step-by-step explanation:

Let the integers be x and y

Their sum:

• x + y = 15

rewrite

• x = 15 - y

Their product:

• (x)(y) = 36

rewrite

• x = 36/y

Solving simultaneously:

• 36/y = 15 - y

• 36 = 15y - y²

• y² - 15y + 36 = 0

• (y - 12)(y - 3) = 0

• y = 12, 3

X values:

• when x = 12, y = 3

• when x = 3, y = 12

The integers are 12 and 3