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omponendo and dividendo is a fundamental concept in mathematics. It helps in solving complex problems.

Proof of Componendo and Dividendo Rule

componendo rule proof

If a / b = c / d,

then by using componendo , we get ,

( a + b ) / b = ( c + d ) / d

Proof:

adding 1 both side , we get

a / b + 1 = c / d + 1

( a + b ) / b = ( c + d ) / d

hence proved.

Proof of dividendo rule

If a / b = c / d , then ( a - b ) / b = ( c - d ) / d

proof:

subtracting 1 from both side , we get

a / b - 1 = c / d - 1

( a - b ) / b = ( c - d ) / d

hence proved.

Proof of Componendo and Dividendo

if a / b = c / d , then ( a + b ) / ( a - b ) = ( c + d ) / ( c - d )

proof :

Taking L. H . S, we get ( a + b ) / ( a - b ) = ( a / b + 1 ) / ( a / b - 1 ) = ( c / d + 1 ) / ( c / d - 1 )

= ( c + d ) / ( c - d )

Hence proved.

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k

ur effort is really appreciable.

its all copy paste from wikipedia. we can go on it u knw

3a + 2x=2a+ 9x

according to divindo and componendo rule

a/b=c/d converts into a+b/a-b=c+d/c-d