Question

If the sum of three consecutive integers is 30 .find integer .options 9+10+11 .8+12+10. 8+9+10​

Answer 1

To find : three consecutive integers.

Given : sum of three consecutive integers is $30$.

Solution :  

• Let , three consecutive numbers be $x , (x+ 1) , ( x + 2 )$
• As per the given question , we write given condition as : $x + ( x + 1 ) + ( x+ 2 ) = 30$
• adding variables and constants ,

                          $3x + 3 = 30\\ 3x = 27 \\ x = 9$

Substituting  the values in above integers :

• First integer : $x = 9$
• Second integer : $x + 1 =9 +1 = 10$
• Third integer : $x + 2 = 9 + 2 = 11$

Hence , three consecutive integers are $9, 10 \ and \ 11$.