Question

a sum of amount rs 250 is divided into 2 parts in the ratio of 2:3 how much will be the amount in the first part while dividing​

Answer 1

$\underline{ \underline{ \Large \pmb{\sf { {Required \: Answer:}} }} }$

✰ Here,as per the given question we are given that divide a sum of amount Rs. 250 into into 2 parts in the ratio of 2:3. We have to find out how much amount goes in the first part. So, we'll first assume the two parts as 2x and 3x and then we'll form an algebraic equation and by solving that equation,we'll find the amount in the first part (2x).

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Let,

• First part = 2x

• Second part = 3x

According to the question, 250 is divided into two parts, so both part will add up to 250. Now, if we write it in the equation;

$\longrightarrow \sf {2x + 3x = 250 }$

$\longrightarrow \sf {5x = 250 }$

$\longrightarrow \sf {x = \dfrac{250}{5} }$

$\longrightarrow \sf {x = 50}$

Henceforth,

$\longrightarrow \sf {First \: Part = 2x}$

$\longrightarrow \sf {First \: Part = 2(50)}$

$\longrightarrow \boxed{ \pmb { \rm \red{First \: Part= 100 }}}$

Therefore, first part is 100.

Answer 2

Let,

• The first part be 2x and second part be 3x.

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$\sf{\underline{According\: to\: the\: question}}$

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$\sf{\dashrightarrow{2x + 3x = 250}}$

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$\sf{\dashrightarrow{5x = 250}}$

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$\sf{\dashrightarrow{x = \dfrac{250}{5}}}$

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$\sf{\dashrightarrow{x = 50}}$

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Therefore,

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$\sf{\dashrightarrow{First\: part = 2x}}$

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$\sf{\dashrightarrow{First\: part = 2(50)}}$

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$\mathfrak{\dashrightarrow{\boxed{\pink{First\: part = 100}}}}$

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Hence,

• The amount in the first part is 100.