The product of two consecutive even integers is 10 less than 5 times their sum. Find two integers

Question

Humberto Osborn

Mathematics

24 December, 18:12

The product of two consecutive even integers is 10 less than 5 times their sum. Find two integers

+5

Answers (2)

Know the Answer?

Kamora Good · Answer 1

X (x+2) = 5 (x+x+2) - 10

x^2+2x=10x+10-10

x^2-8x=0

x (x-8)

The answer is 0 and/or 8.

Caden Garrison · Answer 2

Let one of the numbers be x

The other number is x + 2

x (x + 2) = 5 (x + x + 2) - 10

x² + 2x = 10x + 10 - 10

x² - 8x = 0

x (x - 8) = 0

x = 0 or x = 8

x = 8,

x + 2 = 10

Answer: The numbers are 8 and 10.