if the sum of 4 consecutive integers is 186
Answers
Finding Four Consecutive integers
Answer: four consecutive integers having sum as 186 are 45 , 46 , 47 and 48.
Explanation:
Given that sum of four consecutive integers is 186.
Cosecutive integers means first integer + 1 = second integer , second integer + 1 = third integer and third integer + 1 = fourt integer
lets assume first integer be trepresnted by variable y
so second consecutive integer = first integer + 1 = y + 1
third consecutive integer = second consecutive integer + 1 = (y+1 ) + 1 = y + 2
fourth consecutive integer = third consecutive integer + 1 = ( y+2) + 1 = y + 3
As sum of four consecutive integers is 186.
=> first integer + second consecutive integer + third consecutive integer + fourth consecutive integer = 186
=> y + ( y +1) + ( y + 2 ) + ( y + 3) = 186
=> y + y + y + y + 1 + 2 + 3 = 186
=> 4y + 6 = 186
=> 4y = 186 - 6 = 180
=> y = 180/4 = 45
first integet = y = 45 , second integer = y + 1 = 45 + 1 = 46 , third integet = y + 2 = 45 + 2 = 47 and fourth integer = 45 + 3 = 48
Hence four consecitive integers having sum as 186 are 45 , 46 , 47 and 48.
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Step-by-step explanation:
Let the integers be x,x+1,x+2,x+3
Therefore, x+(x+1)+(x+2)+(x+3) = 186
4x+6 = 186
4x = 186-6
4x = 180
x = 180/4
x = 45
The integers are 45,45+1,45+2,45+3 = 45,46,47,48