SOLUTION: the units digit of a two digit number exceeds twice the tens digit by 1. find the number if the sum of its digits is 10

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: the units digit of a two digit number exceeds twice the tens digit by 1. find the number if the sum of its digits is 10      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 258138: the units digit of a two digit number exceeds twice the tens digit by 1. find the number if the sum of its digits is 10
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
We have two equations
(i) u+=+2t+%2B+1
(ii) u+%2B+t+=+10
by substitution, we get
(iii) 2t+%2B+1+%2B+t+=+10
Solving for t, we get
(iv) 3t+%2B+1+=+10
(v) 3t+=+9
t+=+3
and
u+=+7
The number is 37