In a four digit number..............(Description)?

Question

In a four digit number having non zero and distinct digits,the sum of the digits at the units position and the tens position is equal to the sum of the remaining two digits. the sum of the digits at tens and the hundreds position is three times the sum of the remaining two digits ,if the  sum of the digits is not more than 20, then how many such four digit no. are possible?

Answer

9, 8, 2, 1
9, 7, 3, 1
9, 6, 4, 1
etc

The number of possible combinations is small enough to count directly. By the time you get to 7 you have listed all possibilities. Then you simply figure the possibilities in different orders.

In a four digit number..............(Description)?

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