Question 1201465
u and t
Ones and Tens
{{{10t+u}}}, the original number


{{{u=2t+2}}}


Reversing the number, {{{t+10u}}}


{{{(t+10u)-(10t+u)=2(10t+u)-31}}}, second part of description


{{{9u-9t=20t+2u-31}}}
{{{7u-29t=-31}}}
{{{29t-7u=31}}}
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Substituting for u
{{{29t-7(2t+2)=31}}}
{{{29t-14t-14=31}}}
{{{15t=31+14}}}
{{{15t=45}}}
{{{highlight(t=3)}}}
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substituting into u
{{{u=2*3+2}}}
{{{highlight(u=8)}}}


Original Number, 38