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CBSE Class 10 Answered

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?
Asked by prassanna.j | 10 Sep, 2023, 20:42: PM
answered-by-expert Expert Answer
Let the first person has 'x' amount of capital and the second person has 'y' amount of capital.
As per the first person, we have
x + 100 = 2y 
x - 2y = -100  ... (i)
As per the second person, we have
y + 10 = 6x   
6x - y = 10    ... (ii)
Solving (i) and (ii)
12x - 2y = 20
11x = 120
x = 120/11 = 10.90909...
Therefore, y = 610/11 = 55.4545...
Answered by Renu Varma | 11 Sep, 2023, 10:00: AM

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