not a typical one
Algebra
Level
2
what is the sum of all 2 digits positive numbers if the digits are either 1, 2,3 and 4
The answer is 440.
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1 solution
Consider 2 possibilities- both digits same; both digits different. For case 1, 11 +22+33+44 = 11(1+2+3+4) = 11(10)=110. For case 2, each digit appears exactly thrice in both the tens and the ones place so 3(10)(1+2+3+4) + 3(1+2+3+4) = 3(10+1)(1+2+3+4) = 3(11)(10) =330. So 110+330 = 4 4 0 .