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?

a). m(m – 3) = 108  
b.) m(m + 3) = 108
c.) (m + 3)(m – 3) = 108
d.) (m – 12)(m – 9) = 108

Answer 1

d) the numbers are 9 and 12

Explanation:

set each factor equal to 108:

m-12=108

m = 120

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m-9=108

m=117

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120 and 117 are 3 units apart

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9 x 12 = 108