Question

the sum of three consecutive even numbers is 222 find the numbers
a) 74,74,74
b) 73,74,75
c) 72,74,76
d) none

Answer 1

hello .

let numbers are x+2, x+4 , x+6

so , given sum is 222

x+2+x+4+x+6= 222

3x+12 = 222

3x = 222-12

3x = 210

x= 210/3

x = 70

so x+2 = 70+2= 72

x+4= 70+4 = 74

x+6= 70+6 = 76

so the numbers are 72 ,74 , and 76.

so option C is right answer..

Answer 2

Let the three consecutive numbers be x, x + 2, x + 4.

Given that sum of three consecutive even numbers is 222.

= > x + x + 2 + x + 4 = 222

= > 3x + 6 = 222

= > 3x = 222 - 6

= > 3x = 216

= > x = 216/3

= > x = 72.

Now,

x + 2 = 72 + 2

= 74.

x + 4 = 72 + 4

= 76.

Therefore, the consecutive even numbers are 72,74,76 - Option (C).

Hope this helps!