VEDIC MATHS-114

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VEDIC MATHS

                           By OMKAR TENDOLKAR

Hello friends,

                      This is  post number 114 from the series of "Vedic maths" blogs. Here in this blog we will learn about "Applications of the Sutras & Sub-sutras - 14"

VEDIC MATHEMATIC :

"VEDIC MATHEMATICS" is the name given to the ancient system of mathematics, or, to be precise, a unique technique of calculations based on simple rules and principles, with which any mathematical problem be it arithmetic, algebra, geometry or trigonometry can be solved, hold your breath, orally!
What we call "Vedic Mathematics" is a mathematical elaboration of 'Sixteen Simple Mathematical formulae from the Vedas' as brought out by Sri Bharati Krishna Tirthaji.

Sub-Sutras: 

The system is based on 13 Vedic sutras or aphorisms, which are actually word formulae describing natural ways of solving a whole range of problems.
Some examples of sutras are "Anurupyena", "Antyayor Desakepi", and "Antyayoreva". These 13 one-line formulae originally written in Sanskrit, which can be easily memorized, enables one to solve long mathematical problems quickly.

11. Vestanam ( By Osculation )

Let us check whether 21 is divisible by 7.
For 7, Ekadhika (positive osculator) is 5

So as per the mentioned process, multiply 5 with 1 and add 2 to the product.
  • 21; 1×5+2 = 7 (Divisible by 7)
  • 91; 1×5+9 = 14 (Divisible by 7). Can be continued further as
    14; 4×5 + 1 = 21; and
    21;1×5+2 = 7
  • 112; 2×5+11= 21. (seen earlier)
  • 2107; 7×5 + 210 = 245
    245; 5×5+24= 49 (Divisible by 7 or continue further).
( For  more information refer -: VEDIC MATHS-65 )

12. Yavadunam Tavadunam
Consider following 2 general equations
ax + by = p
cx + dy = q
Solving,
x = (bq – pd) / (bc – ad)
y = (cp – aq) / (bc – ad)
Notice that for calculation of numerators (x any y) cyclic method is used and Denominators remains same for both x and y.
Examples:
i. 2x + 3y = 6
   3x + 4y = 3
Applying above formula:
x = (9 – 24)/ (9 – 8) = -15
y = (18 – 6) (9 – 8) = 12

ii. -3x + 5y =  2
     4x + 3y = -5
Applying above formula:
x = (-25 -6) / (20+9) = -31/29
y = (8-15) / (20+9) = -7/29

( For  more information refer -: VEDIC MATHS-43 )

In next blog we will discuss about "Applications of the Sutras & Sub-sutras - 15".     

Are you excited for this?...
Then, please wait for it.
I will post my new blog in next week.

We will meet very soon through our next  blog. Till that stay connected, stay healthy and stay safe.

Thanks

for giving your valuable time.

Good day😊

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