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Q.

“One says give me a hundred, friend! I shall then become twice as rich as you”. The other replies, “If you give me ten, I shall be six times as rich as you. Tell me what is the amount of their (respective) capital?

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a

b

c

d

answer is A.

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Detailed Solution

Concept: First, let's understand the question and find the formula. Let's assume that two are two variables like x and y. Next, you need to use the data to create an equation and find one solution at a time. Finally, get the solution you need.
A friend is given to say: "Give me a hundred, a friend! Then I will be twice as rich as you."
The absolute value of the first person is

When the first person takes 100 from the second person
First person money

Second person money

The first person takes 100 from the second person, so he is twice as rich as the second person.
Therefore, it can be written by the formula

Let's do the multiplication with the opening angle brackets

Take the variable on the left,

Subtract an integer

It also creates a second expression from the given data.
When the second person takes 10 from the first person
First person money

Second person money

According to the data given, if the second person takes 10 from the first person, he will be six times richer than the first person.
So we can write it in the form of an equation,
Question Image

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Therefore, from Eq. (1) ,

You can write

Substituting equation (3) into equation (2) yields:
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If you enter the value of y in (1) ,
Question Image

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Hence, the correct answer is option 1)

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