# Three consecutive integers add up to 51. What are these integers?

**Solution:**

Let's form a linear equation for the given problem statement.

Let the first integer be x.

Then the next consecutive two integers will be x + 1 and x + 2

x + (x + 1) + (x + 2) = 51 [Sum of the 3 consecutive integers is 51]

⇒ 3x + 3 = 51

⇒ 3x = 51 - 3

⇒ 3x = 48

⇒ x = 48/3

⇒ x = 16,

Thus, x + 1 = 17, x + 2 = 18

Thus, the three consecutive integers are 16, 17, and 18.

**Video Solution:**

## Three consecutive integers add up to 51. What are these integers?

### NCERT Solutions Class 8 Maths - Chapter 2 Exercise 2.2 Question 6

**Summary:**

If three consecutive integers add up to 51, the integers are 16, 17 and 18.