Vedic Maths: Algebra Sunyam Sutra (Thin Disguise)

This video of Vedic Math focuses on simple linear equations and their solutions using Vedic Math Sutras. The video is for students in class nine and above. In this video, we will be understanding some deviations in the meaning of the sutra Shunya Samyasaamuchhye. This is the case of thin disguise. The name of the sutra used is “Shunya Samyasaamuchhye” - शून्य साम्यसमुच्चये. Here, ‘saamuchhye’ (समुच्चये) means total. According to this, if the sum/total of denominators on LHS is equal to the sum/total of denominators on RHS, then the sum/total should be equal to zero. Thin disguise refers to the case when the sum of denominators are not equal.

Example

Solve: { (1)/ (x - 4) + (1)/(x-2) } = {  (1)/(x-8) + (1)/(x-6)  }

Answer:

• Check the sum of denominators of LHS

(x - 8) + (x - 6) = 2x - 14

• Check the sum of denominators of RHS

(x - 4) + (x - 2) = 2x - 6

Sum of denominator on RHS is not equal to sum of denominator on LHS.

Therefore, Transpose and Apply (परावर्त्य योजयेत)

{ (1)/ (x - 4) + (1)/(x-6) } = {  (1)/(x-8) + (1)/(x-2)  }

• Check the sum of the denominators of LHS

(x - 8) + (x - 2) = 2x - 10

• Check the sum of denominators of RHS

(x - 4) + (x - 6) = 2x - 10

• Now, equate it to zero

2x - 10 = 0

2x = 10

Therefore, x = 5

Stay tuned to know more about this sutra and its applications in simple linear equations in the coming videos of Vedic Math!