Is this math or what| ITMW #6| Missing digit

A 3 digit number consist of 9,5 and x

When digits are reversed and subtracted from the original number the answer is a 3 digit number made with the same digits but arranged in different order

If x is the missing digit and S = x^(x) + x^(2) + x

Y = S^(2) + 2S - 24

Find Y-16704


The answer is 60000.

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1 solution

Shriram Santhanam
Nov 18, 2014

9 100+5 10+x - x 100 - 5 10 - 9

since the result contains 9 5 and x

9-x +5 - 5 +x - 9 = 5 - 9 + x

Therefore x = 4

The missing Digit is 4

=>S = 4^4 + 4^2 + 4 =>S = 276

Now =>276^2 + 2*276 - 24 + ( -16704) =>60000

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