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Algebra

Cool goIITian

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4 Feb 2010 14:59:16 IST

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The units place of a particular number is 2. If we place this 2 as the first place of the number, th

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The units place of a particular number is 2. If we place this 2 as the first place of the number, the number so formed is twice the original. Find the number?

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jatin bansal

Cool goIITian

Joined: 28 Jan 2010

Posts: 31

6 Feb 2010 06:54:42 IST

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the required no. is 105263157894736842

to solve it , take an unknown no. with unit digit as 2

now start multiplying it bt 2

whatever digit you will get in product will be preceding 2 in the no.

just as ,consider a no. ------------------2

now------------------ 2*2=-----------------4

so digit preceding 2 is 4

again ----------------------------42*2=-----------------------------84

so digit preceding 4 is 8

-----------------------------842*2=------------------------684 & 1 is carried over

so digit preceding 8 is 6

---------------------------6842*2=----------------------3684 & 1 is carried over

continue like this until the digits start repeating & u will get no. as 105263157894736842

now place unit digit 2 in beginning & u will get 210526315789473684 which is twice of 105263157894736842

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