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CBSE Class 10 Answered

There is a number which is greater than  one million but less than ten million. It's an even number. None of the digits is less than 3. No digit is used more than once. The sum of the digits in the onces period  is 12 . The digit in ten thousand place is equal to the sum of the digits in the tens and hundreds places. The digits in the millions places is 2 more than the digit in the thousand place. The digits in the hundred thousand places is twice the digit in the tens places. 
Asked by abhinavbhardwaj4002 | 29 Jun, 2018, 11:09: AM
answered-by-expert Expert Answer
begin mathsize 16px style Since space the space number space is space greater space than space one space million space but space less space than space ten space million comma space it space must space have space 7 space digits. space
An space even space number space must space have space 2 comma space 4 comma space 6 comma space 8 comma space or space 0 space in space the space ones space place.
The space only space possible space digits space are space 3 comma space 4 comma space 5 comma space 6 comma space 7 comma space 8 comma space or space 9. space
Therefore comma space the space digit space in space the space ones space place space can space only space be space 4 comma space 6 comma space or space 8. space
Guess space and space check space to space see space the space possible space combinations space of space 12 space for space the space ones space period. space
The space only space combinations space ending space in space an space even space number space are space 3 space plus space 5 space plus space 4 space or space 5 space plus space 3 space plus space 4. space
That space means space the space sum space of space the space two space digits space in space the space tens space place space and space hundreds space place space is space 8. space
Therefore comma space 8 space is space the space digit space in space the space ten space thousands space place. space
The space number space in space the space hundred space thousands space place space must space be space even comma space since space it apostrophe straight s space twice space the space digit space in space the space tens space place. space
The space only space remaining space even space digit space is space 6. space
That space means space the space 3 space must space be space in space the space tens space place comma space and space the space 5 space must space be space in space the space hundreds space place.
The space digit space in space the space millions space place space is space 2 space more space than space the space digit space in space the space thousands space place.
The space two space remaining space digits space are space 9 space and space 7. space
Therefore comma space the space 9 space must space be space in space the space millions space place space and space the space 7 space must space be space in space the space thousands space place.
Therefore space the space number space is space 9 comma 678 comma 534. end styleError converting from MathML to accessible text.
Answered by Yasmeen Khan | 29 Jun, 2018, 03:51: PM
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