Problema Solution

find two consecutive even whole numbers whose product is 168

Answer provided by our tutors

the 2 consecutive even whole numbers can be written as


2k and 2k + 2, where k is an integer


their product is 168


2k(2k + 2) = 168


by solving the equation we find two roots


k1 = 6


k2 = -7


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for k = 6 we have


2k = 2*6 = 12


2k + 2 = 14


the two numbers are 12 and 14 (indeed 12*14 = 168).


for k = -7 we have


2k = 2(-7) = -14


2k + 2 = -12


the two numbers are -12 and -14 (indeed (-12)*(-14) = 168).