The sum of three consecutive natural numbers is 963, find the numbers.

(A) First, write out an equation that models the relationship between these three numbers:

x + ____ +______ = 963

2nd number 3rd number



(B) Now, simplify the left side of your equation:

____________ = 963

(C) Solve your equation and identify the three numbers:

The three numbers in increasing order are___ ,___and ____.

hint:

if I told you that the first of 3 consecutive numbers is 17, wouldn't the next two be 18 and 19 ?

what did I do to the 17 to get 18?
what did I do to the 17 to get 20?

if I told you that the first of 3 consecutive numbers is x , what would the next number be ???

let me know what you got

a.

x+x
x+x+x

b.
5x

c.193,194 and 195

Your three numbers add up to 582.

(A) Let the first number be x. Since we are looking for three consecutive natural numbers, the second number would be x+1, and the third number would be x+2. So the equation that models the relationship between these numbers is:

x + (x+1) + (x+2) = 963

(B) Simplify the left side of the equation:

3x + 3 = 963

(C) Solve the equation:

Subtract 3 from both sides:

3x = 960

Divide both sides by 3:

x = 320

Now that we have the first number, we can find the other two numbers.

The second number is x+1 = 320+1 = 321.

The third number is x+2 = 320+2 = 322.

So the three numbers in increasing order are 320, 321, and 322.

your number do not add up to 963

you did not follow my pattern.

x + x+1 + x+2 = 963
3x + 3 = 963
3x = 960
x = 320

so the three numbers are 320 , 321, and 322