The sum of three consecutive integers is 5 more than the smallest of t

1.	The sum of three consecutive integers is 5 more than the smallest of the integers. Find the integers.
Answer» Let the smallest integer be x So, next two consecutive integer would be x + 1 and x + 2 respectively. According to question, x + x + 1 + x + 2 = x + 5 ⇒ 3x + 3 = x + 5 ⇒ 3x – x = 5 – 3 ⇒ 2x – 2 ⇒ x = 1 Thus, next two consecutive integers are 2 and 3 respectively.

The sum of three consecutive integers is 5 more than the smallest of the integers. Find the integers.

Answer»

Let the smallest integer be x

So, next two consecutive integer would be x + 1 and x + 2 respectively.

According to question,

x + x + 1 + x + 2 = x + 5

⇒ 3x + 3 = x + 5

⇒ 3x – x = 5 – 3

⇒ 2x – 2 ⇒ x = 1

Thus, next two consecutive integers are 2 and 3 respectively.