Answer:
Four consecutive integers whose sum is 114 are 27 , 28 , 29 , 30 .
Step-by-step explanation:
Consecutive numbers are numbers having each number is one more than the previous number. like consecutive number of 2 is 3 .
We have to four consecutive integers whose sum is 114.
Let integers be in the form x , (x+1) , (x+2) , (x+3)
Given : Sum of integers be 114.
thus, x + (x+1) + (x+2) + (x+3) = 114
⇒ 4x +6 = 114
⇒ 4x = 114 -6
⇒ 4x = 108
⇒[tex]x= \frac{108}{4}[/tex]
⇒ x = 27
Thus, integers are,
x = 27
(x+1) = 27 + 1 = 28
(x+2) = 27 +2 = 29
(x+3) = 27 +3 = 30
Thus, four consecutive integers whose sum is 114 are 27 , 28 , 29 , 30 .
