Question 1037154
t, the tens digit
h, the hundreds digit
u, the ONES or units digit


This system fits the description:
{{{system(t+h+u=17,100u+10t+h+(100h+10t+u)=1474,100u+10t+h-(100h+10t+u)=396)}}}


SIMPLIFY
{{{system(t+h+u=17,101u+20t+101h=1474,99u-99h=396)}}}
{{{system(t+h+u=17,20t+101h+101u=1474,-11h+11u=44)}}}
{{{system(t+h+u=17,20t+101h+101u=1474,-h+u=4)}}}



SOLVE THE SYSTEM
Neat way to solve the system could be use first two equations to eliminate t.
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{{{system(20t+20h+20u=340,20t+101h+101u=1474,-h+u=4)}}}
{{{system(81h+81u=1134,-h+u=4)}}}
{{{system(h+u=14,-h+u=4)}}}
Use very simple Elimination, add corresponding members...
{{{2u=18}}}
{{{highlight(u=9)}}}------found ONES digit.
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{{{h+u=14}}}
{{{h=14-u}}}
{{{h=14-9}}}
{{{highlight(h=5)}}}-------HUNDREDS digit found.
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Return to {{{h+t+u=17}}};
{{{t=17-h-u}}}
{{{t=17-5-9}}}
{{{t=17-14}}}
{{{highlight(t=3)}}}
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Original Number:  539