Question

6 7 8 9 10 TIME REMAINING 59:50 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

m(m+3)=108

m^2+3m-108=0
(m-9)(m+12)=0
m=9 m=-12
m=9 is the only one positive

Answer 2

n and m are numbers 3 units apart

n + 3 = m
n = m - 3

Product:

m(m-3) = 108 (ANSWER)
m^2 - 3m - 108 = 0
(m-12)(m+9)=0

m = 12(greates) and -9(void)

n = m - 3
n = 12 - 3
n = 9


therefore the two numbers are 9 and 12