SOLUTION: If the second of three consecutive integers is subtracted from 105, the result is the sum of the first and third. What are the integers?
Algebra.Com
Question 1127022: If the second of three consecutive integers is subtracted from 105, the result is the sum of the first and third. What are the integers?
Found 3 solutions by josgarithmetic, MathLover1, greenestamps:
Answer by josgarithmetic(39623) (Show Source): You can put this solution on YOUR website!
first, n-1
second, n
third, n+1
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
let three consecutive integers be ,, and
If the second of three consecutive integers is subtracted from , the result is the sum of the first and third:
-> first integer
->second integer
-> third integer
check:
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!
You can simplify the required algebra using logical reasoning, knowing that, in three consecutive integers, the sum of the first and third is twice the second. So if x is the second number, the problem says
The middle number is 35; the integers are 34, 35, and 36.
RELATED QUESTIONS
If the second of three consecutive integers is subtracted from 147, the result is the sum (answered by josgarithmetic)
If the second of three consecutive integers is subtracted from 147 the result is the... (answered by josgarithmetic,ikleyn,greenestamps)
When twice the first of three consecutive odd integers is subtracted from three times the (answered by solver91311)
if the second of three consecutive odd integers is divided by 3 and then the result is... (answered by ewatrrr)
If 8 is subtracted from the third of 3 consecutive odd integers and the result is... (answered by bucky)
if 6 is subtracted from the largest of three consecutive odd integers with the result... (answered by josmiceli)
Please help....word problems are the death of me!!!!
The sum of three numbers is 1. If... (answered by josgarithmetic,ikleyn)
if the first and third of three consecutive even integers are added together, the result (answered by fractalier)
If the first and third of three consecutive odd integers are added, the result is 81 less (answered by Alan3354)