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
click here to see the step by step solution of the equation
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).