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Sulikhan
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Posted: Wed Aug 21, 2019 10:49 pm |
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Joined: Wed Jun 12, 2019 3:26 pm Posts: 21
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18) In the sum below the letters J,M and C represent three different zero. What is the value of J+M+C?
J J M M C C --------- JMC
ANSWER IS 18
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solimum
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Posted: Wed Aug 21, 2019 11:26 pm |
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Joined: Wed May 09, 2007 3:09 pm Posts: 1286 Location: Solihull, West Midlands
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This is a fiddly one and I think it needs some trial and error
First notice that the three 2-digit numbers which are added together must all be in the 11 times table. So the sum must also be in the 11 times table JJ = 11 x J MM = 11 x M CC = 11 x C
JMC = 11 x (J+M+C)
So the easiest way is to make a list of the first few three digit multiples of 11, add up the digits and see if they match the multiple
So 132 = 11 x 12 1+3+2 = 6 so this doesn't work 143 = 11 x 13 1+4+3 = 8
Try the next few until
198 = 11 x 18 1+9+8 = 18 RESULT!!
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Mitumum
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Posted: Fri Oct 18, 2019 11:20 am |
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Joined: Sun Aug 13, 2017 1:50 pm Posts: 9
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J J M M C C --------- JMC
From the first column, it is clear that J+M=10 From the second column, it is clear that M=C+1 From the third column, it is clear that J=1
so , M=9, C=8 J+M+C=1+9+8=18
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