Puzzle - Number puzzle..

[Master]

What four digit number has digit 1 three less than digit 4 which is one more than digit 2 which is twice digit 3 which is not a prime number and is one more than 1/3 of digit 4?

[Master]

Please give answer with explaination.

[Sumant]

My Answer 0213Going from left to right.

Lets consider 4th digit to be x.
now digit 1 is three less than digit 4 ... x-3
which is (digit 4) is 1 more than digit 2. so digit 2 is..x-1
which is (digit 2) is twice than digit 3... so digit 3 is .. (x-1)/2
also digit 3 is 1 more than 1/3 of digit 4 .. so x/3 +1

so digit 3 are :
x/3 + 1 = (x-1)/2--------******
2x/3 + 2= x-1
x=2x/3 + 1
3x=2x + 3
x=3

and digit are 0213

[Master]

miscalculation
2x/3 + 2= x-1
x=2x/3 + 1 <==

should be
x=2x/3+3
x=9

[Sumant]

miscalculation
2x/3 + 2= x-1
x=2x/3 + 1 <==

should be
x=2x/3+3
x=9

Good catch MASTER !

[tigershark]

6849

Digit 2 is twice of digit 3

2- 2468
3- 1234

digit 4 is one more than digit 2

2- 2468
3- 1234
4- 3579

digit 1 is 3 less than digit 4

1- 0246
2- 2468
3- 1234
4- 3579

so four possible solutions uptill now are 0213, 2425, 4637, 6849

digit 3 is not a prime number and is 1 more than 1/3 of digit 4
hence it is 6849

1- 0248
2- 2468
3- 1234
4- 3579