Question

find three consecutive numbers whose sum is 261

Answer 1

Given,

The sum of three consecutive numbers is 261

To find,

The three consecutive numbers.

Solution,

Let,the first number of the three consecutive numbers = x

[Assume, x as a variable to do the further mathematical calculations.]

Now,the difference between each consecutive numbers will be 1.

So,the second number = x+1

And,the third number = x+1+1 = x+2

Now,the sum of the three consecutive numbers = x+x+1+x+2 = 3x+3

Now, if we compare the sum of 3 consecutive numbers that is given in the question and the sum of the three consecutive numbers that we have calculated,then we will get the following mathematical equation;

3x+3= 261

3x = 258

x = 86

First number = 86

Second number = 86+1 = 87

Third number = 87+1 = 88

Hence,the three consecutive numbers are 86,87,88