SOLUTION: I basically got this answer down, but I have no idea how to cheack it. The question is, Find three consecutive numbers whose sum is 60. The answer is 19,20, and 21. I am confused o

Algebra ->  Expressions-with-variables -> SOLUTION: I basically got this answer down, but I have no idea how to cheack it. The question is, Find three consecutive numbers whose sum is 60. The answer is 19,20, and 21. I am confused o      Log On


   



Question 152052This question is from textbook algebra
: I basically got this answer down, but I have no idea how to cheack it. The question is, Find three consecutive numbers whose sum is 60. The answer is 19,20, and 21. I am confused on how to cheack it. Please help, Thank You=) This question is from textbook algebra

Found 3 solutions by mangopeeler07, nabla, vleith:
Answer by mangopeeler07(462) About Me  (Show Source):
You can put this solution on YOUR website!
Add them together. 19+20+21=60

Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
The check would simply be for S=19+20+21, does S=60? 19+20+21=60 So, yes this is the solution. Moreover, you could note that 19, 20, and 21 are 3 numbers that exist in a%3Ca%2B1%3Ca%2B2 therefore they are consecutive numbers.

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
You are asked to find three sequential numbers with a sum of 60
Let x be the first number
The x+1 is the second number
And x+2 is the third one
x+%2B+%28x%2B1%29+%2B+%28x%2B2%29+=+60+
3x+%2B+3+=+60
3x+=+57
x+=+19
x+1 = 20
x+2 = 21
So you have the numbers correctly.
To verify your answer, just add then three numbers and see if they equal 60
Does x+%2B+%28x%2B1%29+%2B+%28x%2B2%29+=+60+ when x=19?
+19+%2B+20+%2B+21+=+60
+60+=+60 which is true. So those numbers work!
WTG