consecutive integers are 1 apart
3 of them are x, x+1, x+2
x is the 1st integer, x+1 is the 2nd integer, x+2 is the 3rd integer
if the first and third integer are added (add x and x+2 together), then the result is 87 less than 5 times the 2nd integer (-87+5(x+1))
basically
(x)+(x+2)=-87+5(x+1)
expand and nice it up
2x+2=-87+5x+5
addd like terms
2x+2=-82+5x
minus 2x from both sides
2=-82+3x
add 82 to both sides
84=3x
divide both sides by 3
28=x
we can now find the 2 other integers
x+1=28+1=29
x+2=28+2=30
the 3rd integer is 30
Answer:
-5 and 2
Step-by-step explanation:
Apexvs
Answer:
(2b - 5) + b + (b + 80) = 983
Step-by-step explanation:
Given that,
Total score of three teams = 983
Since the teams' scores are given in reference to team B's score, let 'b' be the score of team B.
So,
The scores of Team A = (2 * b) - 5
The scores of Team B = b
The scores of Team C = (b + 80)
Thus,
The equation for determining the total points of Team B would be:
(2b - 5) + b + (b + 80) = 983
On solving,
(2b - 5) + b + (b + 80) = 983
⇒ 2b + b + b = 983 + 5 - 80
⇒ 4b = 908
⇒ b = 908 ÷ 4
⇒ b = 227
Team B's score = 227
Team A's score = (2 * 227 - 5)
= 449
Team C's score = 227 + 80
= 307
Total ⇒ 449 + 227 + 307 = 983
Hence proved.
Answer:
x = 9
Step-by-step explanation:
Given
3x - - x = ( add to both sides
3x - x = + = = 25 ← combine x- terms on left side
x = 25 ( multiply both sides by 9 )
25x = 225 ( divide both sides by 25 )
x = 9
Answer:
x= −5
/3
Step-by-step explanation: