Find three consecutive positive even integers such that the product of the second and third integers is 20 more than 10 times the first integer.

6, 8, 10

Step-by-step explanation:

We can write the three numbers as: x, x+2, and x+4

(x+2)(x+4) = 10x + 20

x² + 6x + 8 = 10x + 20

x² - 4x - 12 = 0

(x-6)(x+2) = 0

x = -2,6

We will focus on x = 6 and ignore -2

To check our (6+2)(6+4) = 10(6) + 20?

                                     8*10 = 60 + 20?

                              Yes, 80 = 80

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step-by-step explanation:

1+2+3+4+5+6+7+8+9+10 = 55

2*10 = 20

55-20 = 35

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step-by-step explanation: