Question

six consecutive integers are written on a blackboard. when one of them is erased the sum of the remaining five integers is 20122012. what is the sum of the digits of the integers that was erased?

Answer 1

The sum of the digits of the integers that was erased was 403.

Define the term consecutive integers?

• In mathematics, consecutive meaning signifies an uninterrupted sequence of integers.
• It signifies that the numbers in a series follow each other indefinitely.

Consider the 1st digit  be x  and last  be 'x + 5'.

Let the sum of all five integers is 'a'.

So,

5x +  a  =  2012

5x  =  2012 -  a

And 2012 must be divisible by 5

So   if  a = 12   we have    x + (x + 1) + ( x + 2) + (x + 4)+ (x + 5)    

5x + 12  =  2012

See that  x + 3 was erased

5x   = 2012  -12

5x  =  2000

x = 400

And,

x + 3  =   400 +  3  

Sum =  403   was erased.

Thus, the sum of the digits of the integers that was erased was 403.

To know more about the consecutive integers, here

https://brainly.com/question/26352026

#SPJ4