Share
Find four consecutive even integers such that if the sum of the first and third was multiplied by 2, the result is 20 less than three times
Question
Find four consecutive even integers such that if the sum of the first and third was multiplied by 2, the result is 20 less than three times the fourth.
in progress
0
Mathematics
7 months
2021-07-28T03:04:06+00:00
2021-07-28T03:04:06+00:00 1 Answers
6 views
0
Answers ( )
xAnswer:
-10 -8 -6 -4
Step-by-step explanation:
The numbers are
first =x
second= x+2
third=x+4
4th= x+6
2(x + (x+4)) = 3(x+6)-20
4x+8 = 3x+18–20
4x-3x=18–20–8
x=-10
So the numbers are -10, -8, -6, -4
first 2nd 3rd 4th
Check:
2( -10-6) = 3(-4) -20
2(-16) = -12-20
-32 = -32