Question

Divide ₹100 into two parts such that ⅓rd of the first and ½ of the second are equal. (explain in detail)​

Answer 1

Question. :

Divide ₹100 into two parts such that ⅓rd of the first and ½ of the second are equal

Answer :

$\sf\purple{Given}$

• Let one part be x .

• Therefore other part = 100 - x.

By the given condition ,

⅓× x = ½ ( 100 - x)

$\longrightarrow\sf{x/3 = 100/2 - x/2}$

$\longrightarrow\sf{x/3 = 100-x/2}$

$\longrightarrow\sf{x×2/3= 100-x}$

$\longrightarrow\sf{2x/3= 100-x}$

$\longrightarrow\sf{2x= 3(100-x)}$

$\longrightarrow\sf{2x= 300- 3x}$

$\longrightarrow\sf{2x + 3x = 300}$

$\longrightarrow\sf{5x = 300}$

$\longrightarrow\sf{x = 300/5}$

$\longrightarrow\sf\pink{x = 60 }$

• Therefore first part is x that is 60

• Therefore second part is 100 - x

$\longrightarrow\sf{100-60}$

$\longrightarrow\sf\pink{40}$

• Therefore the second part is 40

@MissOxford

Answer 2

Answer:

First part = Rs.60

Second part = Rs.40

Step-by-step explanation:

It is an easy Question, only thing is that we should be able to analyse the given data. But hey, I am here to do it for you, don't worry, now Hop in....

So,

Let the first part be Rs.x, then the second part would be logically Rs.(100 - x)

Now, according to the Question,

(1/3) of first part = (1/3) × x

= (1/3)x

Similarly,

(1/2) of second part = (1/2) × (100 - x)

= (1/2)(100 - x)

Now, according to our Question,

They should be equal,

So,

(1/3)x = (1/2)(100 - x)

x/3 = (100 - x)/2

Cross multiplying we get,

2 × x = 3 × (100 - x)

2x = 3(100 - x)

2x = 300 - 3x

3x + 2x = 300

5x = 300

x = 300/5

x = 60

So,

First part = Rs.60

Second part = 100 - 60 = Rs.40

Hence,

First part = Rs.60

Second part = Rs.40

We can check if this is true,

60 × (1/3) = 40 × (1/2)

60/3 = 40/2

20 = 20 (True)

Thus, its is correct.

Hope it helped and believing you understood it....All the best