Question 1111812
Two parts of the description:

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2-digit number is 52 greater than the product of its digits. 
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t for TENS, u for ONES
{{{10t+u=52+tu}}}
{{{10(u+4)+u=52+u(u+4)}}}
..
.
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and


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If the ten's digit is 4 larger than the unit's digit, 
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This second part means that the two-digit number will be one of those among 51, 62, 73, 84, 95.


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{{{10t+u=52+tu}}}
{{{10(u+4)+u=52+u(u+4)}}}
{{{10u+40+u=52+u^2+4u}}}
{{{u^2+4u+52=11u+40}}}
{{{u^2-7u+12=0}}}
{{{highlight_green((u-3)(u-4)=0)}}}
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u could be either  {{{system(3,OR,4)}}}.


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BOTH of these will work in the original first-part equation, of {{{10t+u=52+tu}}};

{{{system(highlight(73),OR,highlight(84))}}}