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.