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

Posted: **Sat Jan 30, 2016 9:30 pm**

by **ahsaf**

**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]]]

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

Posted: **Sun Jan 31, 2016 4:03 pm**

by **asif e elahi**

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

Posted: **Fri Feb 05, 2016 11:11 pm**

by **ahsaf**

I didn't understand why are we taking $99$ to prove the problem

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

Posted: **Fri Feb 05, 2016 11:29 pm**

by **asif e elahi**

ahsaf wrote:I didn't understand why are we taking $99$ to prove the problem

Because $x$ has the only value $99$.

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

Posted: **Tue Feb 20, 2018 10:54 am**

by **M. M. Fahad Joy**

Solve.

X = 99 and Y = 100

Because,

x*y% = 99*100% = 99 and y*x% = 100*99% = 99

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

Posted: **Tue Feb 20, 2018 1:51 pm**

by **samiul_samin**

M. M. Fahad Joy wrote: ↑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

Use LaTeX.It will make your post more readable.

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

Posted: **Tue Feb 20, 2018 10:02 pm**

by **M. M. Fahad Joy**

samiul_samin wrote: ↑Tue Feb 20, 2018 1:51 pm

M. M. Fahad Joy wrote: ↑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

Use LaTeX.It will make your post more readable.

Sorry, my answer was wrong. Can you solve this?

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

Posted: **Thu Mar 01, 2018 10:31 pm**

by **samiul_samin**

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

Posted: **Fri Mar 02, 2018 12:23 am**

by **M. M. Fahad Joy**

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

Posted: **Wed Mar 07, 2018 10:59 pm**

by **samiul_samin**

It was a typing mistake.I have already fixed that.