Question

Find three consecutive positive even integers whose sum is 76

Answer 1

Answer:

three consecutive positive even integers whose sum is 76 does not exists

Step-by-step explanation:

Let Say three consecutive positive even integers whose sum is 76

are 2(n-1) , 2n , 2(n+1)

Sum of these three numbers = 76

2(n-1) + 2n + 2(n+1) = 76

2 ( n-1 + n + n +1) = 76

2 (3n ) = 76

3n = 38

n = 38/3

n = 12.666

which is not possible so

three consecutive positive even integers whose sum is 76 does not exists

if we take 78 instead of 76

then

3n = 78/2

3n = 39

n = 13

so three number would be

2(13-1)  , 2 (13) , 2(13+1)

= 24 , 26 , 28