Question

The average of three consecutive even numbers is (3×6) . If these three numbers are arranged in an assending order ,then the odd number just before the middle number and the even number just after the greater number are ....​

Answer 1

Answer:

Step-by-step explanation:

the average of three consecutive even is (3×6). If these three numbers are arranged in an ascending order, then the odd number just before the middle number and the even number just after the greater number are

Let the even No. s be :

x, x+2, x+4, ........ ,x+(2n)

Sum of these observations:

= nx +(2 + 4+ ………+(2n))

= nx+ n(n+1)

= n(x + n+1)

{°•° Sum of even No.s ,

2+4+ …+2n = n(n+1)}

,=> A= x+n+1

=> x = A-(n+1)

Here,

Smaller No. = x = A-n-1

Larger No. = x+2n = A-n-1+2n = A+n-1

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Given,

n = 3

A = 18

Smaller even No. = 18-3+1 = 16

(Larger even No. = 18+3-1 = 20)

^^ Though smaller No. is enough to know other No.s

•°• The No.s are 16, 18, 20

Middle No. = 18

Odd No. just before the middle No. = 17

Greater No. = 20

Odd No just after the greater No. = 21

Thus,

The required No.s are 17 & 21

•°•°•°•°•°<><><<><>><><>°•°•°•°•°•

Hope it helps

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