Problema Solution
The product of two consecutive even integers is 40 less than 20 times their sum. Find the two integers.
Answer provided by our tutors
let the two consecutive even integers be
2x and 2x + 2 where x is integer
the product of two consecutive even integers is 40 less than 20 times their sum
2x(2x + 2) = 20(2x + 2x + 2) - 40
by solving we find two solutions
x1 = 0 and x2 = 19
click here to see the step by step solution of the equation
for x = 0 the numbers are 0 and 2
indeed 0*2 = 0 = 20*(0 + 2) - 40
for x = 19 the numbers are 2*19 = 38 and 40
indeed 38*40 = 1520 = 20*(38 + 40) - 40