Skip to main content

the sum of three consecutive even numbers is 48. what are the smallest of these numbers

By
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 48. 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
                                                              48=X+X+X+2+4
                                                              48= X+X+X+2+4
                                                             48= 3X+2+4
                                                             48=3X+6
                                                             48-6=3X
                                                             42=3X
It can be written as
                                                             3X=42
                                                               X= 42/3
                                                                  = 14
3 consecutive even numbers =   X, X+2,X+4
Substituting x =14
3 consecutive even numbers = 14, 14+2, 14+4
                                                    =   14, 16,18
from the above series smallest number = 14.
From the above series biggest number = 18.
the sum of three consecutive even numbers is 42  then the biggest of these numbers = 18.

the sum of three consecutive even numbers is 42  then the smallest of these numbers = 14.

Comments

Post a Comment

Popular posts from this blog

how many times a day do the minute and hour hands of a clock form a straight line but in opposite direction

By
For this I am not writing any formula , simply  with the help of table we will try to understand the concept. the minute and hour hands of a clock form a straight line but in opposite direction 1 Between 12.30 to 12.35 2 Between 1.35 to 1.40 3 Between 2.40 to 2.45 4 Between 3.45 to 3.50 5 Between 4.50 to 4.55 6 Between 5.55 to 6.00  : means at 6.00 clock they are straight but opposite @ Between 6.00 to 6.05 hands are not straight in opposite direction 7  Between 7.05 to 7.10 8 Between  8.10 to 8.15 9 Between  9.15 to 9.20 10 Between  10.20 to 10.25 11 Between  11.25  to 11.30                  #  goto step 1 @ in 6 th column if we see in 5 to 6 hours and 6.00 to 7.00 hours t...
Post a Comment
Read more

Average of first n even numbers

By
Even numbers are 2,4,6,8,10,…. Average = sum of elements/ no of elments Now we will see the sum of elements: Sum of first 2 even numbers: 2+4= 6= 2(2+1) Sum of first 3 even numbers: 2+4+6= 12= 3(3+1) Sum of first 4 even  numbers: 2+4+6+8=20= 4(4+1) Sum of first 5 even numbers: 2+4+6+8+10 = 30 = 5(5+1) Sum of first n even numbers: 2+4+6+8+10+. . . . .  n numbers= n(n+1) Now we will see average: Average of first 2 even numbers= (2+4)/2                                                           = 6/2                              ...
2 comments
Read more

sum of even numbers from 2 to 100

By
Even numbers from 2 to 100 Even numbers are 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,52,    54, 56,58,60,62,64,66,68,70,72,74,76,78,80,82,84,86,88,90,92,94,96,98,100. Now we will see the sum of elements: Sum of first 2 even numbers: 2+4= 6 The above can be written as Sum of first 2 even numbers: 2+4= 6= 2x3=2(2+1) Sum of first 3 even numbers: 2+4+6= 12= 3(3+1) Sum of first 4 even  numbers: 2+4+6+8=20= 4(4+1) Sum of first 5 even numbers: 2+4+6+8+10 = 30 = 5(5+1) Sum of first n even numbers: 2+4+6+8+10+. . . . .  n numbers= n(n+1) Sum of  even numbers from 2 to 100 = 2+4+6+8+10+. . . . .  50 numbers                                                                           = 50(50+1)           ...
Post a Comment
Read more