Problema Solution
The room numbers on one side of a school corridor are consecutive positive even integers. The product of the room numbers for two adjoining rooms on that side is 5040. Find the room numbers.
Answer provided by our tutors
let the consecutive positive even integers be
2x and 2x + 2, where x is integer
the product of the room numbers for two adjoining rooms on that side is 5040
2x(2x + 2) = 5040
by solving we find
x = 35
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2*35 = 70
2*35 + 2 = 72
indeed 70*72 = 5040
the room numbers are 70 and 72.