The sum of three consecutive even integers is 258. write an equation ad solve to find the integers

The consecutive integers are 85,86,87

Explanation:

n

:

the first number

n

+

1

:

the second number

n

+

2

:

the third number

n

+

(

n

+

1

)

+

(

n

+

2

)

=

258

3

n

+

3

=

258

3

n

=

258

-

3

3

n

=

255

n

=

255

3

n

=

85

n

+

1

=

85

+

1

=

86

n

+

2

=

85

+

2

=

87

Let x, x+2 and x+4 be the three consecutive even integers

from question, we have,

x+x+2+x+4 = 258

=> 3x + 6 = 258

=> 3x = 252

=> x = 252/3

=> x = 84

now,

x+2 = 86

and x + 4 = 88

therefore the three consecutive even integers are 84, 86 and 88