Question

divide 36 pens between Rahul and Rohan ratio of 5:4​

Answer 1

5x+4x=36

9x=36

x=36/9

x=4

5x=4*5=20

4x=4*4=16

Answer 2

$\underline{ \underline{ \Large \pmb{\sf { {Given:}} }} }$

• Total number of pens = 36 pens

$\underline{ \underline{ \Large \pmb{\sf { {To \: calculate:}} }} }$

• To divide 36 pens between Rahul and Rohan ratio of 5:4.

$\underline{ \underline{ \Large \pmb{\sf { {Calculation:}} }} }$

✰ Here, we are given that total number of pens is 36 and we have to divide 36 pens between Rahul and Rohan ratio of 5:4. In order to divide, we'll assume the number of pens given to Rahul as 5x and the number of pens given to Rohan as 4x. After assumption, we'll form an algebraic equation and by solving that equation we'll find the value of x and the number of pens given to Rahul and Rohan.

⠀⠀⠀⠀⠀_____________

Let,

• Pens given to Rahul = 5x

• Pens given to Rohan = 4x

According to the question,

>> We have to divide 36 pens between Rahul and Rohan ratio of 5:4. So, the sum of the pens given to Rahul and Rohan will be 36.

$\longrightarrow \sf { Pens_{(of \: Rahul)} +Pens_{(of \: Rohan)} = 36 \: pens }$

$\longrightarrow \sf { 5x + 4x = 36 }$

$\longrightarrow \sf { 9x = 36 }$

$\longrightarrow \sf { x = \dfrac{36}{9} }$

$\longrightarrow \boxed{\sf { x = 4 }}$

We got the value of x, so now let's calculate the pens given to Rahul and Rohan.

$\longrightarrow \sf { Pens_{(given \:to \: Rahul)} = 5x \: pens }$

$\longrightarrow \sf { Pens_{(given \:to \: Rahul)} = 5(4) \: pens }$

$\longrightarrow \boxed{ \pmb{ \rm \red{ Pens_{(given \:to \: Rahul)} = 20 \: pens }}}$

Also,

$\longrightarrow \sf { Pens_{(given \:to \: Rohan)} = 4x \: pens }$

$\longrightarrow \sf { Pens_{(given \:to \: Rohan)} = 4(4) \: pens }$

$\longrightarrow \boxed{ \pmb{ \rm \red{ Pens_{(given \:to \: Rohan)} = 16 \: pens }}}$

Therefore, pens got by Rahul is 20 pens and pens got by Rohan is 16 pens.