Question 538976
Let t be the tens digit.
Let u be the units digit.
Can you go on from here?
Maybe you need a translation.
"the units digit ... exceeds twice the tens digit by one" means {{{u=2t+1}}}
"the sum of its digits is 10" means {{{u+t=10}}}
Those two equations make a system of linear equations, but you don't need to know names. You can just solve it any way you can. Can you solve it now?
For example substituting the expression {{{2t+1}}} for {{{u}}}
in {{{u+t=10}}}, you get
{{{2t+1+t=10}}} ---> {{{3t+1=10}}} ---> {{{3t=10-1}}} ---> {{{3t=9}}} ---> {{{t=9/3}}} ---> {{{t=3}}}
So {{{u=2t+1}}} turns into {{{u=2*3+1}}} --> {{{u=7}}}
So your number is 37.