Question 30

The average of 7 consecutive numbersis 20. The largest of these numbersis

Solution

let the consecutive no be x,x+1,x+2,x+3,x+4,x+5,x+6

sum of all consecutive numbers=x+x+1+x+2+x+3+x+4+x+5+x+6= 7x+21=7(x+3)

average = $$\frac{sum of all numbers}{total numbers}$$

given average=20

20= $$\frac{7(x+3)}{7}$$=x+3

x+3=20

=>x=17

largest number is x+6=17+6=23

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