Asked by Misha
What is the largest three-digit number with the property that the number is equal to the sum of its hundreds digit, the square of its tens digit and the cube of its units digit?
Answers
Answered by
Reiny
my little BASIC program gave the following:
Chipmunk BASIC v3.6.5(b3)
4 possible cases:
<b>135
175
518
598</b>
testing for 518
518 ---> 5 + 1^2 + 8^3 = 5+1+512 = 518
YUP!
I ran the following little program
Chipmunk BASIC v3.6.5(b3)
>10 for a = 1 to 9
>20 for b = 0 to 9
>30 for c =0 to 9
>40 if(100*a+10*b+c) = a+b*b+c*c*c then print a,b,c
>50 next c
>60 next b
>70 next a
>run
1 3 5
1 7 5
5 1 8
5 9 8
>
Chipmunk BASIC v3.6.5(b3)
4 possible cases:
<b>135
175
518
598</b>
testing for 518
518 ---> 5 + 1^2 + 8^3 = 5+1+512 = 518
YUP!
I ran the following little program
Chipmunk BASIC v3.6.5(b3)
>10 for a = 1 to 9
>20 for b = 0 to 9
>30 for c =0 to 9
>40 if(100*a+10*b+c) = a+b*b+c*c*c then print a,b,c
>50 next c
>60 next b
>70 next a
>run
1 3 5
1 7 5
5 1 8
5 9 8
>
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