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# Vedic Math Sutra: Sutra-13 Sopantyadvayamantyam

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Vedic Mathematics, an ancient system of mathematical techniques and principles originating from India thousands of years ago, continues to amaze Mathematicians and kids alike with its efficiency and practicality. At the core of Vedic Mathematics lies a collection of concise and unique statements known as Sutras, designed to offer swift and practical solutions to complex mathematical problems

Among these 16 great sutras, “Sopantyadvayamantyam” is an interesting one.

Equations of the following type can be solved using this Sutra:

1/ xy + 1/xz = 1/xa + 1/yz

where x, y, z and a are in arithmetic progression,

y = x + d

z = x + 2e

d = x + 3e

The solution for such equations is 2z + a = 0.

#### For Example

1/ (y+1)(y+2) + 1/ (y +1)(y+3) = 1/ (y+1)(y + 4) + 1/ (y+2)(y+3)

Now according to the above Sutra, the solution would be:

2(y +3) + (y+4) = 0

2y +6+y+4 = 0

3y + 10 = 0

y = -10/3

#### Wrapping Up!!

Children can benefit from learning the Sopantyadvayamantyam Sutra since it not only enhances their skills but also aids in developing a deeper grasp of numbers and their relationships. Vedic mathematics methods can enhance practical and cheerful mathematical learning experiences for young brains by being implemented into modern classrooms.

To facilitate this learning, we at Moonpreneur have launched an Advanced Mathematics Course that encompasses teaching Vedic Math to make students more intelligent, faster, and sharper.

Book a Free Vedic Math workshop today!!

A writer with a talent to play with words and deliver impactful content. I have an undying love for literature, and firmly believe that pens have the power to change the course of human history!!
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Judith
5 months ago

What is the exact meaning of Sopantyadvayamantyam?

jazzz
5 months ago

The sutra Sopantyadvayamantyam means “the ultimate and twice the penultimate” which gives the answer immediately.

Emily Smith
6 months ago

Which is better Vedic Math or abacus?

rose
6 months ago

It can be said that Vedic Maths is better compared to abacus because it can be used for much more than just addition, subtraction, multiplication, and division.

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