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 66. 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
66=X+X+X+2+4
66= X+X+X+2+4
66= 3X+2+4
66=3X+6
66-6=3X
60=3X
It
can be written as
3X=60
X=
60/3
=
20
3
consecutive even numbers = X, X+2,X+4
Substituting
x =20
3
consecutive even numbers =20, 20+2, 20+4
= 20, 22, 24.
from
the above series smallest number =20.
From
the above series biggest number = 24.
the sum of three consecutive even
numbers is 66. then the biggest of these
numbers = 24.
the sum of three consecutive even
numbers is 66 then the smallest of these
numbers = 20.
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