Question

explain componendo and dividendo.

Answer 1

Hello Riya
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Here is your answer.

First let's know about what is Componendo .

⚫ COMPONENDO

If a/b = c/d then a + b/b = c + d/d

a/b = c/d

a/b +1 = c/d +1.....(adding 1 to both sides)

a + b/b = c + d/d

If a/b = c/d then a + b/b = c + d /d.

This property is known as Componendo.

Let's take an example..

i.) If a/b = 5/3 then find the ratio a + 7b/7b

=) In example

=) a/b = 5/3

=) a+ 7b/7b = 5+21/21....(using Componendo)

=) a + 7b/7b = 26/21

This is the answer⏫

I hope you understood the Componendo.

Now let's learn about the Dividendo .

⚫ Dividendo

If a/b = c/d then a - b/b = c - d/d

: a/b = c/d

: a/b - 1 = c/d -1... subtracting 1 from both the sides)

: a - b/b =c -d/d

If a/b = c/d then a-b/b =c-d/d

This property is known as Dividendo .

Now let's take an example then you will understand.

i.) If a/b = 7/4 then find the ratio 5a - b/b

=) In example

=) a/b = 7/4

means a = 7 and b = 4

=) 5a/b

=) 5*7/4

=) 35/4

Now ,

5a - b/b = 35-4/4....(using Dividendo)

= 31/4

Therefore 5a-b/b = 31/4

This is the answer.⏫

I hope now you understood both the concept.

Thanks for your question.