perplexus.info :: Numbers : Ask and solve cubes

Ask and solve cubes (Posted on 2020-08-17)

If
i. ASK=(A+S+K)³
&
ii. SOLVE=(S+O+L+V+E)³

Show that:
i. has one integer solution
and
ii. has several, but only one with 5 distinct digits.

List all of them.

No Solution Yet Submitted by Ady TZIDON

No Rating

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computer solution | Comment 2 of 5 |

All such numbers, without regard to length, are:

1
512
4913
5832
17576
19683

The 3-digit one solves part i, and the last one solves part ii.

For n = 1 To 999999
ns$ = LTrim(Str(n))

s = sod(ns)
If s * s * s = n Then
Text1.Text = Text1.Text & n & crlf
End If

DoEvents
Next

. . .

Function sod(x$)
t = 0
For i = 1 To Len(x)
t = t + Val(Mid(x, i, 1))
Next
sod = t
End Function

Posted by Charlie on 2020-08-17 14:43:53

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