The Power of Vedic Maths by Gupta Atul

Author:Gupta, Atul [Gupta, Atul]
Language: eng
Format: azw3
Publisher: Jaico Books
Published: 2013-02-03T16:00:00+00:00

I. Definition - Dwandwa or Duplex

We will define a term called ‘dwandwa’ or duplex denoted by ‘D’.

a) Duplex of a single digit is defined as

D(a) = a2

D(3) = 32 = 9,

D(6) = 62 = 36 etc.

b) Duplex of two digits is defined as

D(ab) = 2 * a * b

D(37) = 2 * 3 * 7 = 42

D(41) = 2 * 4 * 1 = 8

D(20) = 0

c) Duplex of 3 digits is defined as

D(abc) = 2 * a * c + b2

This can be derived by using D(a) and D(ab) defined above.

We pick up the digits at the two extreme ends i.e ‘a’ and ‘c’ and compute its duplex as 2 * a * c.

We then move inwards and pick up the remaining digit ‘b’.

We add the duplex of b i.e. b2 to the result to get the duplex of the 3 digits ‘a’, ‘b’ and ‘c’.

Thus D(346) = 2 * 3 * 6 + 42

= 36 + 16 = 52

D(130) = 2 * 1 * 0 + 32 = 9

D(107) = 2 * 1 * 7 + 02 = 14.

d) Duplex of 4 digits is defined as

D(abcd) = 2 * a * d + 2 * b * c = 2 ( a * d + b * c)

Once again, we start from the two digits ‘a’ and ‘d’, compute their duplex as 2 * a * d, then move inwards, we get another pair ‘b’ and ‘c’ and compute their duplex as 2 * b * c.

Thus the final duplex is 2 * a * d + 2 * b * c

D(2315) = ( 2 * 2 * 5 ) + ( 2 * 3 * 1 )

= 20 + 6 = 26

D(3102) = ( 2 * 3 * 2 ) + ( 2 * 1 * 0 )

= 12 + 0 = 12

D(5100) = ( 2 * 5 * 0 ) + ( 2 * 1 * 0 )

= 0

e) Duplex of five digits is defined as

D(abcde) = 2ae + 2bd + c2

D(21354) = ( 2 × 2 × 4 ) + ( 2 × 1 × 5 ) + 32

= 16 + 10 + 9 = 35

D(31015) = ( 2 × 3 × 5 ) + ( 2 × 1 × 1 ) + 02

= 30 + 2 + 0 = 32

Summary of computation of duplex

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.