Question

the sum of three consecutive number is 18 find the sum of the next three consecutive numbers​

Answer 1

Solution:

Let the three consecutive Integers be x, x+1 and x+2.

According to the question, their sum is 18.

Translation :

x + x + 1 + x + 2 = 18

$\longrightarrow$ 3x + 3 = 18

$\longrightarrow$ 3x = 18 - 3

$\longrightarrow$ 3x = 15

$\longrightarrow$ x = 15/3

$\longrightarrow$ x = 5

Therefore, consecutive Integers are :

• 5

• 5+1 = 6

• 5+2 = 7

$\rule{200}2$

Next three Integers : x + 3, x + 4, x + 5.

$\longrightarrow$ 5+3 = 8

$\longrightarrow$ 5+4 = 9

$\longrightarrow$ 5+5 = 10

Answer 2

Let the first number be x.

Second number = ( x + 1 )

Third number = ( x + 2 )

x + ( x + 1 ) + ( x + 2 ) = 18

3x + 3 = 18

3x = 18 - 3

3x = 15

x = 15/3

x = 5

First number = 5

Second number = ( x + 1 ) = ( 5 + 1 ) = 6

Third number = ( x + 2 ) = ( 5 + 2 ) = 7

Hence the next three consecutive numbers are :-

Fourth number = ( x + 3 ) = ( 5 + 3 ) = 8

Fifth number = ( x + 4 ) = ( 5 + 4 ) = 9

Sixth number = ( x + 5 ) = ( 5 + 5 ) = 10

Sum of next three consecutive numbers = 8 + 9 + 10 = 27

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