SOLUTION: The sum of the digits of a two-digit number is one third of the number. The digits unit is five more than the tens digit. What is the number?
Algebra.Com
Question 392868: The sum of the digits of a two-digit number is one third of the number. The digits unit is five more than the tens digit. What is the number?
Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
x+y=(10x+y)/3
y=x+5
x+(x+5)=(10x+x+5)/3
2x+5=(11x+5)/3
3(2x+5)=11x+5
6x+15=11x+5
6x-11x=5-15
-5x=-10
x=-10/-5
x=2 ans. for the tens digit.
y=2+5=7 ans. for the units digit.
Proof:
2+7=(10*2+7)/3
9=(20+7)/3
9=27/3
9=9
RELATED QUESTIONS
The unit digit of a two-digit number is one less than three times the tens digit. The sum (answered by stanbon)
A two digit number is two less than six timers the sum of its digits. The tens digit is... (answered by Paul)
The sum of the digits of a two digit number is 11. The tens digit is one more than four... (answered by feliz1965)
I the sum of the digits of a two digit number is 7 and the tens digit is one more than... (answered by Timnewman)
The sum of the digits of a two-digit number is 7. The tens' digit is one more than twice... (answered by Alan3354,greenestamps)
a two-digit number is twice the sum of its digits. if the tens digit is 7 less than the... (answered by josmiceli)
The sum of the digits of a two digit number is 13. The number is 4 more than five times... (answered by josgarithmetic)
11) The units digit of a two-digit number is one-third the tens digit. When the digits... (answered by venugopalramana)
11) The units digit of a two-digit number is one-third the tens digit. When the digits... (answered by venugopalramana)