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

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ahsaf
Posts: 16
Joined: Mon Jan 19, 2015 10:48 pm
Location: dhaka, bangladesh

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

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
Posts: 183
Joined: Mon Aug 05, 2013 12:36 pm
Location: Sylhet,Bangladesh

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

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

ahsaf
Posts: 16
Joined: Mon Jan 19, 2015 10:48 pm
Location: dhaka, bangladesh

### 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
Location: Sylhet,Bangladesh

### 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 $99$.