Question

3 consecutive integers is 234. What is the equation to solve this equations and what are the 3 integers?

Answer 1

Answer:

1. The equation to solve this equations is:

= 3x = 231

2. The three integers are 77, 78 and 79.

Step-by-step explanation:

The sum of 3 consecutive integers = 234

let x = first integer

let x+1 = second integer

let x+2 = third integer

Therefore,

= x + x + 1 + x + 2 = 234

simplified to:

= 3x = 231

b) Adding three consecutive numbers adds the smaller number to itself three times, and then adding 1 for the second number, and two for the third number. So, the sum of the three consecutive numbers is divisible by 3.  Therefore, to get the second (or middle) number, divide the total by 3, and then subtract 1 and add 2 to get the first and the third numbers, respectively.