Math, asked by gandlanarsimlu1970, 10 months ago

if the sum of 4 consecutive integers is 186​

Answers

Answered by upadanrtm2020
2

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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Answered by KaushikAryan07
0

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

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