SOLUTION: The sum of the digits of a three-digit number is 11. The tens digit is three times the Hundreds digit and twice the units digit. Find the original number. Help! I don't really k

Question 1008650: The sum of the digits of a three-digit number is 11. The tens digit is three times the Hundreds digit and twice the units digit. Find the original number.
Help! I don't really know on how to do this.. ._.
Answer by maxitee(11) (Show Source): You can put this solution on YOUR website!
Let's take the digits in the number to be A B and C.
From the question,
A + B + C = 11
A=> Hundreds,
B=> Tens
C= Units.
B = 3A ( tens digit is three times the hundreds digit.. As in the question)
B = 2C (tens digit is twice the unit digit.. As in the question)
This therefore means that 3A = 2C = B.
To relate all elements together, we have.
C = 3A/2
A= 2C/3
B= 3A or B = 2C.
From the first equation, (A+B+C=11)
If we substitute the values of B and C in terms of A, we have the following;

If A = 2, Then B = 6, Making C = 3.
The original number is 263

(Engr. Terry, Nigeria)
RELATED QUESTIONS
The sum of the digits of a three digit number is 11. The tens digit is 3 less than twice... (answered by ewatrrr)

The sum of the digits of a three-digit number is 12. The tens digit is two times the... (answered by mananth)

16.The sum of the digits of a three-digit number number is 11. The tens digit is three... (answered by venugopalramana)

the sum of the digits of a three digit number is 12. The tens digits is three less than... (answered by josgarithmetic)

the sume of a three-digit number is 11. The tens digit is three times the hundreds digit... (answered by josmiceli)

The tens digit of a three digit number is three times the units digit and the units digit (answered by ankor@dixie-net.com)

a three digit number is 28 times the sum of its digits. the units digit is twice the... (answered by ptaylor)