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?
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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?
Please give answer with explaination.
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
miscalculation :EmoticonTongue:
2x/3 + 2= x-1
x=2x/3 + 1 <==
should be
x=2x/3+3
x=9
Good catch MASTER ! :EmoticonCrying:Quote:
Originally Posted by Master
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