# 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.

**ā Check: **NCERT Solutions for Class 8 Maths Chapter 2

**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.

**ā Related Questions:**

- The sum of three consecutive multiples of 8 is 888. Find the multiples.
- Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers.
- The ages of Rahul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?
- The number of boys and girls in a class are in the ratio 7:5. The number of boys is 8 more than the number of girls. What is the total class strength?

Math worksheets and

visual curriculum

visual curriculum