The sum of three consecutive positive integers is 315. Find the numbers. ( Hint: x, x+1, x + 2 )

really ??

you were given the hint.

What does "sum" mean ?

To find the three consecutive positive integers, we can assign a variable to one of the numbers and express the other two numbers in terms of that variable.

Let's assume that the first number is x.

According to the given hint, the second number will be the first number plus 1, which is (x + 1).

Similarly, the third number will be the first number plus 2, which is (x + 2).

The sum of these three consecutive positive integers is given as 315, so we can set up the equation:

x + (x + 1) + (x + 2) = 315

Now, let's solve this equation to find the value of x.

Combining like terms on the left side, we get:

3x + 3 = 315

Subtracting 3 from both sides, we have:

3x = 312

Dividing both sides by 3, we find:

x = 104

So, the first number is 104.

Now, we can find the other two consecutive numbers by substituting the value of x back into our expressions.

The second number is (104 + 1) = 105, and the third number is (104 + 2) = 106.

Therefore, the three consecutive positive integers are 104, 105, and 106.