## 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

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

ahsaf
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Joined: Mon Jan 19, 2015 10:48 pm

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

I didn't understand why are we taking $99$ to prove the problem
Men are born with the reason to help others.
But I realised they strive to become famous.

asif e elahi
Posts: 183
Joined: Mon Aug 05, 2013 12:36 pm

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

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

Solve.
X = 99 and Y = 100
Because,
x*y% = 99*100% = 99 and y*x% = 100*99% = 99
Math is the main inspiration of my life.

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

Tue Feb 20, 2018 10:54 am
Solve.
X = 99 and Y = 100
Because,
x*y% = 99*100% = 99 and y*x% = 100*99% = 99

Posts: 120
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### Re: Divisional Math Olympiad, Dhaka-2016,primary, ques. 7

samiul_samin wrote:
Tue Feb 20, 2018 1:51 pm
Tue Feb 20, 2018 10:54 am
Solve.
X = 99 and Y = 100
Because,
x*y% = 99*100% = 99 and y*x% = 100*99% = 99

Sorry, my answer was wrong. Can you solve this?
Math is the main inspiration of my life.

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

Solution
Last edited by samiul_samin on Fri Mar 02, 2018 2:56 pm, edited 1 time in total.

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

samiul_samin wrote:
Thu Mar 01, 2018 10:31 pm
Solution
Sorry, you are wrong.
Math is the main inspiration of my life.

samiul_samin
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