SOLUTION: find four consecutive integers such that the sum of the second and the fourth is seventeen less than thrice the first.

Question 74306: find four consecutive integers such that the sum of the second and the fourth is seventeen less than thrice the first.
Found 2 solutions by josmiceli, funmath:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Call the integers a, a+1, a+2, a+3

The integers are 21,22,23,24
check:

OK
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
find four consecutive integers such that the sum of the second and the fourth is seventeen less than thrice the first.
Let the 1st integer be: x
Then the 2nd integer is: x+1
Then the 3rd integer is: x+1+1=x+2
Then the 4th integer is: x+1+1+1=x+3
Sum means:+
17 less means: -17
thrice means: 3*
Problem to solve:
(x+1)+(x+3)=3(x)-17
x+1+x+3=3x-17
2x+4=3x-17
2x-2x+4=3x-2x-17
4=x-17
4+17=x-17+17
21=x
The first integer is: x=21
the second is: x+1=21+1=22
the third is: x+2=21+2=23
the fourth is: x+3=21+3=24
Sanity check:
If we add the 2nd and 4th, do we get 3 times the 1st minus 17?
22+24=3(21)-17
46=63-17
46=46
We seam to be right.
Happy Calculating!!!
RELATED QUESTIONS
Find four consecutive integers such that the sum of second and the fourth is seventeen... (answered by josgarithmetic)
find four consecutive integers such that the sum of the second and the fourth is... (answered by CubeyThePenguin)
Find four consecutive integers such that the sum of the second and the fourth is 17 less... (answered by ankor@dixie-net.com)
Find four consecutive integers such that the sum of the second and the fourth is... (answered by mananth)
Find the four consecutive integers such that the sum of the second and fourth is 17 less... (answered by lwsshak3)
find the 4 consecutive even integers such that the sum of the first and the fourth even... (answered by vleith)
Find for consecutive integers such that the sum of the second and the fourth is 17 less... (answered by Adam)
find the three consecutive odd integers such that four times the sum of the first and the (answered by flame8855)
Find four consecutive even integers such that the sum of the first and second is 70 less... (answered by mananth)