Question

5. When three consecutive even integers are added, the sum is zero. Find the integers.​

Answer 1

Answer:

Therefore , three consecutive integers are  −2,0 and 2

Step-by-step explanation:

Let the first even integers =x  

Then next two consecutive even integers =(x+2) and (x+4)  

According to the given statement ,  

x+(x+2)+(x+4) = 0  

x+x+2+x+4 = 0  

3x+6 = 0  

3x = −6  

x= 3/−6

We get ,  

x=−2  

Therefore , three consecutive integers are −2,(−2+2) and (−2+4) i.e., −2,0 and 2

Answer 2

Answer:

The three consecutive numbers are 0, 1, -1

Step-by-step explanation:

let the first number is x

then the next number is (x+1)

and the third number is (x+1+1)

and as given in the question

x+x+1+x+2 = 0

=> 3x+3= 0

=> 3x = -3

=> x = -1

first number = -1

second number = -1+1 = 0

there number = -1+2 = 1

hence the three consecutive numbers are -1, 0, 1