SOLUTION: In a 3 digit number the tens digits is thrice the unit digit and the hundreds digit is four times the units digit. Also, the sum of its digits is 16. Find the number?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: In a 3 digit number the tens digits is thrice the unit digit and the hundreds digit is four times the units digit. Also, the sum of its digits is 16. Find the number?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 995473: In a 3 digit number the tens digits is thrice the unit digit and the hundreds digit is four times the units digit. Also, the sum of its digits is 16. Find the number?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +u+ = units digit
Let +t+ = tens digit
Let +h+ = hundreds digit
------------------------
given:
(1) +t+=+3u+
(2) +h+=+4u+
(3) +u+%2B+t+%2B+h+=+16+
----------------------
Substitute (1) and (2) into (3)
(3) +u+%2B++3u+%2B+4u+=+16+
(3) +8u+=+16+
(3) +u+=+2+
and
(1) +t+=+3u+
(1) +t+=+3%2A2+
(1) +t+=+6+
and
(2) +h+=+4u+
(2) +h+=+4%2A2+
(2) +h+=+8+
--------------
The number is:
862