Question

9. Find three consecutive even numbers whose sum is 504.

Answer 1

Answer:

Assumption:

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

According to question:

x+(x+2)+(x+4)=504

x+x+2+x+4=504

3x+6=504

3x=504-6

3x=498

x=498/3

x=166

1st number=x

=166

2nd number=x+2

=166+2

=168

3rd number=x+4

=166+4

=170

Verification:

Condition:

1st number+2nd number+3rd number=504

166+168+170=504

Hence,

The given solution:

1st consecutive number=166

2nd consecutive number=168

3rd consecutive number=170