from a handpicked tutor in LIVE 1-to-1 classes

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

**Solution:**

Let the three consecutive integers be x, (x + 1), and (x + 2)

A/Q

x + 5 = x + (x + 1) + (x + 2)

x + 5 = 3x + 3

3x - x = 5 - 3

2x = 2

x = 1

Thus, the three consecutive integers are 1, 2, and 3.

**✦ Try This:** The sum of three consecutive integers is 11 more than the smallest of the integers. Find the integers.

Let the three consecutive integers be x, (x + 1), and (x + 2)

A/Q

x + 11 = x + (x + 1) + (x + 2)

x + 11 = 3x + 3

3x - x = 11 - 3

2x = 8

x = 8/2

x = 4

Thus, the three consecutive integers are 4, 5, and 6.

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 4

**NCERT Exemplar Class 7 Maths Chapter 4 Problem 85**

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

**Summary:**

The sum of three consecutive integers is 5 more than the smallest of the integers, the three consecutive integers are 1, 2, and 3

**☛ Related Questions:**

visual curriculum