Question

Two positive integers are 3 units apart on a number line. Their product is 108. Which equation can be used to solve for m, the greater integer? m(m – 3) = 108 m(m + 3) = 108 (m + 3)(m – 3) = 108 (m – 12)(m – 9) = 108

Answer 1

If the greater integer is m, then the smaller integer must be (m-3) because the integers are 3 units apart on a number line. It cannot be in front of m, because m is the greater so it must be behind m meaning it is 3 units less. Product is the technical term for the result of a multiplication problem so m(m-3) = 108 would be the answer.

Final Answer: m(m-3) = 108

Answer 2

The equation can be used to solve for m, the greater integer is

m (m-3) = 108

Equations and expression

Let one of thee positive number be m

• If the two numbers are 3 units apart from the line, the second number will be m + 3

• If the product of the numbers is 108, hence the required equation will be m (m-3) = 108

Hence the equation can be used to solve for m, the greater integer is

m (m-3) = 108

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