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cathyangs
Group Title
Using each of the digits 2, 3, 4, 6, 7, and 8 exactly once, construct two 3digit integers M and N so that MN is positive and is a small as possible. Compute MN.
The smallest MN I found was 39. Anyone?
 2 years ago
 2 years ago
cathyangs Group Title
Using each of the digits 2, 3, 4, 6, 7, and 8 exactly once, construct two 3digit integers M and N so that MN is positive and is a small as possible. Compute MN. The smallest MN I found was 39. Anyone?
 2 years ago
 2 years ago

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liza2 Group TitleBest ResponseYou've already chosen the best response.0
39 was the lowest I found as well
 2 years ago

cathyangs Group TitleBest ResponseYou've already chosen the best response.0
I bet there's a mathematical way to figure out the smallest MN without knowing M or N, or something. >:( I never know with this questions if there's something wrong with my answer.
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
234243=9
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
Or cant we repeat digit for both M and N
 2 years ago

cathyangs Group TitleBest ResponseYou've already chosen the best response.0
Sorry, you can't repeat digits.
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
Well Yes it is 39
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
And there is a mathematical way to do it.
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
Let the first number "M" be = abc =a*100+b*10+c And the other number "N"be =a'b'c' = a'*100+b'*100+c' Then, MN=(a*100+b*10+c)(a'*100+b'*10+c') =(aa')*100+(bb')*100+(cc')
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
So, MN to be minimum...... aa' must be positive smallest number (FIRST priority) bb' must be smallest (Second priority) cc' must be smallest (Third priority)
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
So, aa'=1 when a=4 and b=3 bb'=6 when b=2 and b'=6 cc'=1 when c=6 and c'=7
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
Thus, Smallest MN=1*100+(6)*10+(1)=39
 2 years ago
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