Question

13. If the average of 6 consecutive even numbers is 25, the differ ence between the largest and the smallest number is

Answer 1

Step-by-step explanation:

Sñ=n/2[2a+(n-1)d]----(A)

sum of 6 consecutive even numbers is

25*6=150

Sñ=150

n=6

d=2

from(A)

150=6/2[2a+(6-1)*2]

150=3[2a+5(2)]

150=3(2a+10)

150=6a+30

150-30=6a

120=6a

a=20

so the 6 consecutive even numbers are

20,22,24,26,28,30

the difference between the largest and the smallest is

30-20=10

Answer 2

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