SOLUTION: find two consecutive even integers such that six times the first equals five times the second do there exist 7 consecutive integers with the sum of 130. explain. three conse

Question 786927: find two consecutive even integers such that six times the first equals five times the second
do there exist 7 consecutive integers with the sum of 130. explain.
three consecutive odd intgers are such that the sum of the first and the third is 70. find the integers

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
find two consecutive even integers such that six times the first equals five times the second
-----
1st: 2x
2nd: 2x+2
----
Equation::
6(2x) = 5(2x+2)
12x =10x + 10
2x = 10
x = 5
-----
1st: 2x = 10
2nd: 2x+2 = 12
================================
do there exist 7 consecutive integers with the sum of 130. explain.
Equation:
1st: x-3
2nd: x-2
3rd: x-1
4th: x
5th: x+1
6th: x+2
7th: x+3
--------
sum = 130
7x = 130
x = 18.57
-----
That is not an integer.
Ans: No
=====================
three consecutive odd intgers are such that the sum of the first and the third is 70. find the integers
----
1st: 2x-1
2nd: 2x+1
3rd: 2x+3
------
Equation:
(2x-1)+(2x+3) = 70
4x+2 = 70
4x = 68
x = 17
----
1st: 2x-1 = 34-1 = 33
2nd: 35
3rd: 37
==================
Cheers,
Stan H.

RELATED QUESTIONS
Find two consecutive even integers such that six times the first equals five times the... (answered by ikleyn)

Find two consecutive even integers such that six times the frist (even integers) equals... (answered by CubeyThePenguin)

Find two consecutive even integers such that nine times the first equals six times the (answered by chessace)

Find two consecutive even integers such that six times the first integer equals four... (answered by ewatrrr)

Find two consecutive even integers such that six times the first integer equals four... (answered by mananth)

Find two consecutive even integers such that five times the first equals ten more than... (answered by elima)

What are two consecutive even integers such as six times the first equals five times the... (answered by Earlsdon)

Find two consecutive even integers such that twelve times the first equals eight times... (answered by Fombitz)

Find two consecutive even integers such that eight times the first equals seven times the (answered by oscargut)