HOW DO I FIND OUT WHAT The sum of three consecutive natural numbers is 870, find the numbers
quick way:
the average of the three numbers would be
870/3 = 290
Since they are consecutive, they must be
289, 290, 291
long way:
x + x+1 + x+2 = 870
solve for x, and state the numbers
To find the three consecutive natural numbers whose sum is 870, you can use algebraic equations.
Let's assume the first number is "x". Since the numbers are consecutive, the second number would be "x + 1", and the third number would be "x + 2".
According to the problem, the sum of these three numbers is 870. So, we can write the equation:
x + (x + 1) + (x + 2) = 870
Simplifying the equation, we have:
3x + 3 = 870
Now, we can solve for "x" by isolating it on one side of the equation:
3x = 870 - 3
3x = 867
Dividing both sides of the equation by 3, we get:
x = 867 / 3
x ≈ 289
So, the first number is approximately 289. Now we can find the second and third numbers by substituting the value of x into the expressions "x + 1" and "x + 2":
Second number = x + 1 ≈ 289 + 1 ≈ 290
Third number = x + 2 ≈ 289 + 2 ≈ 291
Therefore, the three consecutive natural numbers whose sum is 870 are approximately 289, 290, and 291.