Question

60 can be expressed as the sum of 5 consecutive numbers as follows:


60 = 10 + 11 + 12 + 13 + 14


The sum of the greatest and the smallest of these 5 consecutive numbers is 24.

90 can also be expressed as the sum of 5 consecutive numbers. What is the sum of the greatest and the smallest number of these 5 consecutive numbers?

A- 36 B- 46
C- 54 D- 84

Answer 1

let 5 consecutive no's be x,x+1,x+2,x+3,x+4

90 = x+ x+1+x+2+ x+3+x+4
90 = 5x+10

18 = x+2
x= 16

so smallest is 16
greatest = 16+4 = 20

sum = 16 +20 = 36

Answer 2

Answer:

let 5 consecutive no's be x,x+1,x+2,x+3,x+4

90 = x+ x+1+x+2+ x+3+x+4

90 = 5x+10

18 = x+2

x= 16

so smallest is 16

greatest = 16+4 = 20

sum = 16 +20 = 36