Question

Find the first of three consecutive even integers if the sum of the first and the second is 10 less than 3 times the third.

A. 4

B. 6

C. 8

D. 10

Answer 1

To find the first of three consecutive even integers, we can set up an equation using the given information and solve for the variable. The first even integer is 0.

Step-by-step explanation:

To solve this problem, let's define the three consecutive even integers as x, x+2, and x+4. According to the given information, the sum of the first two integers is 10 less than 3 times the third integer:

x + (x+2) = 3(x+4) - 10

Simplifying the equation:

2x + 2 = 3x + 12 - 10

Combine like terms:

2 = x + 2

Subtracting 2 from both sides:

x = 0

The first even integer is 0, so the correct answer is A. 4