Question 359376
<pre>
Let t = the tens digit
Let u = the units digit

The number = 10t + u
</pre>
>>...One half the number is 5 more than the number of days in a fortnight...<<
<pre>
One half the number = {{{1/2}}}(10t + u) = 5t + {{{1/2}}}u

The number of days in a fortnight = 14

5 more than the number o days in a fortnight = 14+5 = 19

So

5t + {{{1/2}}}u = 19

Multiplying through by 2 to clear of fractions:

10t + u = 38

We can stop right here because 10t + u IS the number,

so it's 38.
</pre>
>>...the sum of the squares of the two digits is 73...<<
<pre>

We didn't need to be given that, but we can check if we
like:

3² + 8² = 9 + 64 = 73.

Yes that's right, but we didn't need to be given that.  
We also didn't need to be given that it was even.

Answer: 38

Edwin</pre>