Pine's forest

There were so many pines in the forest that if they were sequentially numbered 1, 2, 3,. .. , would use three times more digits than the pine trees alone. How many pine trees were there in the forest?

Correct result:

n =  1107

Solution:

  1 9+2(a9)=3a a=9  1 9+2(999)+3(b99)=3b b  1 9+2(999)+3(99999)+4(n999)=3n n=1107 n=1107/1=1107 =1107



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