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ElaKiri Talk!
Interesting Math Puzzle - In Honour of Freeman Dyson.
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<blockquote data-quote="imhotep" data-source="post: 28198446" data-attributes="member: 562115"><p>The above answer by [USER=373872]@hasithayad[/USER] is correct...</p><p></p><p>We know that the number contains 18 digits. Let's say it is abcdefghijklmnopqr. Then do the addition to itself -and the answer should be rabcdefghijklmnopq</p><p></p><p> abcdefghijklmnopqr</p><p>+abcdefghijklmnopqr</p><p>------------------------</p><p> rabcdefghijklmnopq</p><p></p><p>Obviously we know a = 1 (we look for the smallest number and a cannot be zero)</p><p>Then we know r = 2 (or at least 2 if there's no carry). Lets assume r = 2</p><p></p><p>So replacing r by 2 this becomes...</p><p> abcdefghijklmnopq2</p><p>+abcdefghijklmnopq2</p><p>-------------------------</p><p> 2abcdefghijklmnopq</p><p></p><p>Now we know q = 4... replace all q by 4</p><p></p><p> abcdefghijklmnop42</p><p>+abcdefghijklmnop42</p><p>-------------------------</p><p> 2abcdefghijklmnop4</p><p></p><p>So p = 8 and then continue the same operations to fill up the rest. Remember to take the carry over.</p><p></p><p>You will arrive at the answer 105263157894736842</p></blockquote><p></p>
[QUOTE="imhotep, post: 28198446, member: 562115"] The above answer by [USER=373872]@hasithayad[/USER] is correct... We know that the number contains 18 digits. Let's say it is abcdefghijklmnopqr. Then do the addition to itself -and the answer should be rabcdefghijklmnopq abcdefghijklmnopqr +abcdefghijklmnopqr ------------------------ rabcdefghijklmnopq Obviously we know a = 1 (we look for the smallest number and a cannot be zero) Then we know r = 2 (or at least 2 if there's no carry). Lets assume r = 2 So replacing r by 2 this becomes... abcdefghijklmnopq2 +abcdefghijklmnopq2 ------------------------- 2abcdefghijklmnopq Now we know q = 4... replace all q by 4 abcdefghijklmnop42 +abcdefghijklmnop42 ------------------------- 2abcdefghijklmnop4 So p = 8 and then continue the same operations to fill up the rest. Remember to take the carry over. You will arrive at the answer 105263157894736842 [/QUOTE]
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