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

Posted: Sat Jan 30, 2016 9:30 pm

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

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

Posted: Fri Feb 05, 2016 11:11 pm
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
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
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
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

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

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

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

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

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

Posted: Fri Mar 02, 2018 12:23 am
samiul_samin wrote:
Thu Mar 01, 2018 10:31 pm
Solution
Sorry, you are wrong.

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

Posted: Wed Mar 07, 2018 10:59 pm