The
example for consecutive even numbers is 2,4,6,8,10,. . . .
The
above consecutive even number series can be written as
2,2+2,2+4,2+6,2+8,2+10, . . . . .
In
the above series if we replace 2 in every number by “x”.
Then
the above series can be rewritten as
X, X+2,X+4,X+6, X+8, X+10, X+12,. . . .
. . .
From
the above series we can written as
2
consecutive even numbers = X, X+2
3
consecutive even numbers = X, X+2,X+4
4
consecutive even numbers = X,
X+2,X+4,X+6
5
consecutive even numbers = X,
X+2,X+4,X+6, X+8
Now
we see the following problem
The sum of three consecutive even
numbers is 162. what are those numbers
We
can write three consecutive even number series as
3 consecutive even numbers = X, X+2,X+4.
Sum of
consecutive even numbers = X+ X+2+X+4
162=X+X+X+2+4
162= X+X+X+2+4
162= 3X+2+4
162=3X+6
162-6=3X
156=3X
It
can be written as
3X=156
X=
156/3
=
52
3
consecutive even numbers = X, X+2,X+4
Substituting
x =52
3
consecutive even numbers =52, 52+2, 52+4
= 52,54, 56.
from
the above series smallest number =52.
From
the above series biggest number = 56.
the sum of three consecutive even
numbers is 162. then the biggest of
these numbers = 56.
the sum of three consecutive even
numbers is 162 then the smallest of
these numbers = 52.
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