The average of five consecutive multiples of 5 is 20. What is the largest of these numbers?

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Let the first number is x

then next four consecutive numbers will be x+5, x+10, x +15, x+20 respectively.

 

We have, average = 20 

We know, Average = Sum of numbers/ total numbers

                            20 = (x+ x+5 + x+10 + x +15 + x+20)/ 5

 Cross-multiplying, we get

                        100 = 5x +50

                          5x = 100-50 

                          5x = 50 

                            x =50/5

                            x = 10

 

Then , the numbers will be 10,15,20,25,30

 

Here, the largest number in 30.