Anurupye - Shunyamanyat

*If one is in ratio, the other is zero*
Anurupye - Shunyamanyat is the sixth

sutra of

Vedic mathematics. Its corollary is

Yavadunam Tavadunam.

This sutra is used in solving simultaneous simple equations in which one of the unknown terms are in the same ratio to each other as the independent terms are in ratio to each other. This is very rarely useful but saves much time when it can be used. I'll give an example:

*Solve for y and z in the following two equations in which y and z have the same value in both equations:*
28,000,000z + 30,000y = 5,000,000

39,000,000z + 90,000y = 15,000,000

Observe that the y-

coefficients are in the

ratio 1:3, and that the independent terms (3 million and 15 million) are also in that same ratio.

This sutra, "If one is in ratio, the other is zero", would lead us to assume

**z = 0** and we would then simplify the problems and solve for y

**30,000y = 5,000,000** and

**90,000y = 15,000,000**
**y = 5,000,000/30,000** and

**y = 15,000,000/90,000**
In both cases, y = 166.6666repeating

Anurupye - Shunyamanyat can also be applied to a limited number of

simultaneous quadratic equations. To learn more about this sutra, check out the resources below:

**RESOURCES:**

*Vedic Mathematics* by Sri Bharati Krisna Tirthaji

http://www.vedamu.org/Mathematics/course.asp

http://www.sanalnair.org/articles/vedmath/intro.htm

http://www.vedicganita.org/ganitsutras.htm

http://hinduism.about.com/library/weekly/aa062901a.htm

http://www.vedicmaths.org/

http://www.hinduism.co.za/vedic.htm

*Mathemagics* by Arthur Benjamin and Michael B. Shermer

http://en.wikipedia.org/wiki/Vedic_math

http://www.tifr.res.in/~vahia/dani-vmsm.pdf

http://www.sacw.net/DC/CommunalismCollection/ArticlesArchive/NoVedic.html