126k views
1 vote
The sum of three consecutive numbers is 111. What is the smallest of the three numbers? please help show work

User Tscpp
by
3.8k points

1 Answer

4 votes

The sum of three consecutive numbers is 111.

Consecutive Numbers: Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers. For example: 1, 2, 3, 4, 5, 6, and so on are consecutive numbers.

Let the three consecutive numbers are : x , x + 1, x +2

Since the sum of three consecutive number is 111

x + (x +1 ) + (x +2) = 111

Simplify :

x + x + 1 + x + 2 = 111

x + x + x + 1 + 2 = 111

3x + 3 = 111

3x = 111 - 3

3x = 108

x = 108/3

x = 36

So, the first number is x : x = 36

Second number is : x + 1= 36 + 1 = 37

Third Number is : x + 2 = 36 + 2 = 38

Numbers are : 36, 37, 38

Smallest number in 36, 37 & 38 is 36

Smallest number = 36

Answer : 36

User Scott Ahten
by
4.6k points