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

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