Need Of Difference
- Raiyan Jamil
- Posts:138
- Joined:Fri Mar 29, 2013 3:49 pm
Two two digit numbers are made by using the digits 1 , 3 , 5 , 6 , 8 only once so that their difference is minimum . What is the lowest difference and what are those numbers ?
A smile is the best way to get through a tough situation, even if it's a fake smile.
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- Posts:22
- Joined:Sat Dec 14, 2013 3:28 pm
Re: Need Of Difference
Are $12$ and $21$ valid two numbers? I mean each digit can occur at most once. But is it in the sense of just one number?
Why so SERIOUS?!??!
- Raiyan Jamil
- Posts:138
- Joined:Fri Mar 29, 2013 3:49 pm
Re: Need Of Difference
Raiyan saying ,
No , 12 and 21 can' t be taken . 1) as 2 is not in the list . 2) the two two digit numbers are to be made with 4 numbers from the given 5 numbers .
No , 12 and 21 can' t be taken . 1) as 2 is not in the list . 2) the two two digit numbers are to be made with 4 numbers from the given 5 numbers .
A smile is the best way to get through a tough situation, even if it's a fake smile.
- asif e elahi
- Posts:185
- Joined:Mon Aug 05, 2013 12:36 pm
- Location:Sylhet,Bangladesh
Re: Need Of Difference
$63-58=5$
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- Posts:22
- Joined:Sat Dec 14, 2013 3:28 pm
Re: Need Of Difference
Let the numbers be $10a+b$ and $10c+d,$ $10a+b>10c+d.$ Then their difference is $10(a-c)-(d-b).$ Now, the minimum possible value of $a-c$ is $1(a=6$ and $c=5)$ and the maximum possible value of $d-b is$ $7(d=8$ and $b=1).$ So the required two numbers are $61$ and $58$ and their difference is $3.$
Why so SERIOUS?!??!
- Raiyan Jamil
- Posts:138
- Joined:Fri Mar 29, 2013 3:49 pm
Re: Need Of Difference
#asif your ans is not correct instead of using 63 , use 61 , then you will find 3 instead of 5 .
# look nayeemul's ans .
# look nayeemul's ans .
A smile is the best way to get through a tough situation, even if it's a fake smile.
- asif e elahi
- Posts:185
- Joined:Mon Aug 05, 2013 12:36 pm
- Location:Sylhet,Bangladesh
Re: Need Of Difference
ooops......$63-58=5$ is the 2nd lowest difference.