Divisional Math Olympiad, Dhaka-2016,primary, ques. 7

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ahsaf
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Divisional Math Olympiad, Dhaka-2016,primary, ques. 7

Unread post by ahsaf » Sat Jan 30, 2016 9:30 pm

I am not able to solve the question. Please help me soon!

x is a two-digit positive number and y is a three digit positive number
The values of x and y is such that if x is added by y % and if y is subtracted by x %, the result will be the same
How many numbers can be replaced with x or y such that the above statement is true???


[[If I have any problem with my question , please let me know ; I will edit soon]]]
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asif e elahi
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Re: Divisional Math Olympiad, Dhaka-2016,primary, ques. 7

Unread post by asif e elahi » Sun Jan 31, 2016 4:03 pm

The condition gives us the equation $x+\frac{y}{100}=y-\frac{x}{100}$. Then prove that $x=99$.

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ahsaf
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Re: Divisional Math Olympiad, Dhaka-2016,primary, ques. 7

Unread post by ahsaf » Fri Feb 05, 2016 11:11 pm

I didn't understand why are we taking $99$ to prove the problem
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But I realised they strive to become famous. :twisted: :twisted:

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asif e elahi
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Re: Divisional Math Olympiad, Dhaka-2016,primary, ques. 7

Unread post by asif e elahi » Fri Feb 05, 2016 11:29 pm

ahsaf wrote:I didn't understand why are we taking $99$ to prove the problem
Because $x$ has the only value $99$.

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