SOLUTION: My uncle's birthday is today. He is less than 100 years old, and his age is 6 times the sum of its digits. How old is he?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: My uncle's birthday is today. He is less than 100 years old, and his age is 6 times the sum of its digits. How old is he?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 821174: My uncle's birthday is today. He is less than 100 years old, and his age is 6 times the sum of its digits. How old is he?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Being less than 100, he has 2 digits in his age
Let the tens digit = +t+
Let the units digit = +u+
-----------------------
given:
+10t+%2B+u+=+6%2A%28+t+%2B+u+%29+
+10t+%2B+u+=+6t+%2B+6u+
+4t+=+5u+
The only digits that satisfy this:
+t+=+5+
+u+=+4+
He is 54
--------
check:
+54+=+6%2A%28+5+%2B+4+%29+
+54+=+6%2A9+
+54+=+54+
OK