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 42. what is the smallest of these 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
42=X+X+X+2+4
42= X+X+X+2+4
42= 3X+2+4
42=3X+6
42-6=3X
36=3X
It
can be written as
3X=36
X= 36/3
=
12
3
consecutive even numbers = X, X+2,X+4
Substituting
x =12
3
consecutive even numbers = 12, 12+2, 12+4
= 12, 14, 16.
from
the above series smallest number = 12.
From
the above series biggest number = 16.
the sum of three consecutive even
numbers is 42 then the biggest of these
numbers = 16.
the
sum of three consecutive even numbers is 42
then the smallest of these numbers = 12.
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