SOLUTION: The sum of the two smaller of the three consecutive numbers exceeds the largest by 52. Find the numbers

Question 972556: The sum of the two smaller of the three consecutive numbers exceeds the largest by 52. Find the numbers
Found 2 solutions by Boreal, lwsshak3:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
smallest=x
x+x+1-52=x+2
2x-51=x+2
x=53
the numbers are 53, 54, and 55
53+54 are 52 more than 55.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The sum of the two smaller of the three consecutive numbers exceeds the largest by 52. Find the numbers.
***
let x=smallest of three consecutive numbers
x+1=next smallest of three consecutive numbers
x+2=largest of three consecutive numbers
..
x+(x+1)=x+2 (sum of the two smaller of the three consecutive numbers exceeds the largest by 52)
2x+1=x+2+52
x=53
smallest of three consecutive numbers=53
next smallest of three consecutive numbers=54
largest of three consecutive numbers=55
RELATED QUESTIONS
the largest of three consecutive numbers is n. the square of this number exceeds the sum... (answered by mananth)
find three consecutive od integers such that the produt of the two smaller exceeds the... (answered by josgarithmetic)
The largest of the three consecutive positive numbers is n. The square of this number... (answered by josgarithmetic)
Please help me solve this problem: Find three consecutive odd integers such that the... (answered by CubeyThePenguin)
The sum of 4 consecutive odd integers exceeds twice the largest by 22. find the sum of... (answered by stanbon)
three consecutive integers are such that three times the largest exceeds the sum of the... (answered by checkley77)
1.the sum of two is 5 times their difference.if one exceeds the other by 7,what are the... (answered by thinkingeye)
Find three consecutive even integers such that the product of the two smaller exceeds the (answered by solver91311,josmiceli)
find three consecutive positive odd integers such that the product of the two smaller... (answered by Alan3354)