SOLUTION: the sum of two consecutive intergers is 69. find the two intergers.

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Question 681036: the sum of two consecutive intergers is 69. find the two intergers.
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
When we count consecutive numbers, we are really adding 1 to each number to get to the next: 1,2,3,4,...n,n+1
"Sum" means +
(first number)+(second number)=69
Let:
first number = n
second number = n+1
n%2B%28n%2B1%29=69
2n%2B1=69
2n%2B1-1=69-1
2n=68
2n%2F2=68%2F2
n=34
first number = n =highlight%2834%29
second number = n+1=34+1=highlight%2835%29

Remember for word problems to always do a sanity check. Are 34 and 35 consecutive? YES Does 34+35=69? YES So unless something weird happened we are likely right. :)

Hope that helped. Happy Calculating!!!