Question

Average of 3 odd nambers
is 21. If the desterence
between the smallest and
the largest of these numbers is 18. What is the
third number?​

Answer 1

Step-by-step explanation:

let the first even no. = 2x

then

2nd even no. =2x+2

3rd even no. = 2x+4

Given highest even no.=16

so

2x+4=16

2x=12

x=6

so Ist even no.= 2×6 =12

2nd even no.= 14

3rd even no. = 16

average of sum of even no = (12 + 14 + 16)/3

= 42/3

= 14

let 1st odd no. = 2p+1

then

2nd odd no. = 2p+3

3rd odd no. = 2p+5

average sum of odd no. = (2p+1 + 2p+3 + 2p+5)/3

=(6p+9)/3

=2p+3

A.T.Q.

avg sum of even no. + avg sum of odd no. =21

14 + 2p+3=21

2p + 17= 21

2p = 4

p =2

so smallest odd no is 2p +1

i.e.

2×2 +1

=5

Answer 2

Answer:

P=2

SMALLEST NO=5

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