Question 992321: 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 .
Found 2 solutions by Timnewman, ikleyn:
Answer by Timnewman(323)   (Show Source):
Answer by ikleyn(52810)  (Show Source):
You can put this solution on YOUR website! .
1. First way to solve it:
Let x be the first of the three numbers.
Then the second and the third are (x+1) and (x+2), respectively.
Your equation is
x + (x+1) + (x+2) = 963.
3x + 3 = 963,
3x = 963 - 3 = 960,
x =  = 320.
Thus the first number is 320, the second is 321, and the third is 322.
Please check yourself that the tree numbers satisfy the condition.
2. Second way to solve it:
Let x be the second number.
Then the first and the third numbers are (x-1) and (x+1), respectively.
And your equation is
(x-1) + x + (x+1) = 963,
3x = 963,
x =  = 321,
and so on . . .
Good luck!
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