Question

There are some chocolates with Tom and Jerry. If Tom gives certain number of chocolates to Jerry, then the number of chocolates with them will be interchanged. Instead if Jerry gives same number of chocolates to Tom , then the number of chocolates with Jerry will be 1/4 of the number of chocolates that Tom has. If total number of chocolates with them is 100, Find number of chocolates with Tom.

Answer 1

Number of chocolates with Tom is 60

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$\orange{\bigstar}$  Given  $\green{\bigstar}$

There are 100 chocolates with Tom and Jerry

1 . If Tom gives certain number of chocolates to Jerry, then the number of chocolates with them will be interchanged

2 . If Jerry gives same number of chocolates to Tom , then the number of chocolates with Jerry will be 1/4 of the number of chocolates that Tom has

$\orange{\bigstar}$  To Find  $\green{\bigstar}$

Number of chocolates Tom has

$\orange{\bigstar}$  Solution  $\green{\bigstar}$

Let the number of chocolates with Tom be , " x "

So , Number of chocolates with Jerry = " 100 - x "

A/c to 1st condition ,

Let the chocolates given by Tom be , " y "

So , No. of chocolates Tom have = x - y

No. of chocolates Jerry have = 100 - x - y

Now , Tom's chocolates are getting interchanged with Jerry ( Original ) .

⇒ x - y = 100 - x   or 100 - x - y = x

⇒ 2x - y = 100 ...(1)

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A/c to 2nd condition ,

Let the chocolates given by Jerry be,

" y" [ ∵ same number as Tom ]

No. of chocolates with Jerry  = 100 - x - y

No. of chocolates with Tom have = x + y

Now , the number of chocolates with Jerry will be 1/4 of the number of chocolates that Tom has

$\to \rm 100-x-y=\dfrac{1}{4}(x+y)\\\\\to \rm 400-4x-4y=x+y\\\\\to \rm 5x+5y=400\\\\\to \rm x+y=80...(2)$

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Now , Solve (1) + (2) ,

⇒ ( 2x - y ) + ( x + y ) = 100 + 80

⇒ 3x = 180

⇒ x = 60

So , Number of chocolates with Tom ,

x = 60  $\pink{\bigstar}$

Number of chocolates with Jerry ,

100 - x = 40

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Answer 2

Answer:

The answer is in attachment