SOLUTION: A three digit number is such that the sum of its digits its 11. if the tens digit is a third of the hundreds digit and the hundreds digit is twice the unit digit. Find the three di

Algebra ->  Equations -> SOLUTION: A three digit number is such that the sum of its digits its 11. if the tens digit is a third of the hundreds digit and the hundreds digit is twice the unit digit. Find the three di      Log On


   

Question 1117745: A three digit number is such that the sum of its digits its 11. if the tens digit is a third of the hundreds digit and the hundreds digit is twice the unit digit. Find the three digit number (3 marks)
Found 3 solutions by josgarithmetic, MathTherapy, Shin123:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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three digit number is such that the sum of its digits its 11. if the tens digit is a third of the hundreds digit and the hundreds digit is twice the unit digit.
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u, ones digit
t, tens digit
h, hundreds digit

t=h%2F3 and h=2u;
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system%28t=h%2F3%2Cu=h%2F2%29

Sum equation is u%2Bt%2Bh=11.

%28h%2F2%29%2B%28h%2F3%29%2Bh=11
cross%283h%2B2h%2Bh=11%29
3h%2B2h%2B6h=66
cross%286h=11%29
11h=66
highlight%28h=6%29------from this, u and t can be computed.


fixed.
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Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
A three digit number is such that the sum of its digits its 11. if the tens digit is a third of the hundreds digit and the hundreds digit is twice the unit digit. Find the three digit number (3 marks)
IGNORE that person as he's TOTALLY lost!

Correct answer: matrix%281%2C2%2C+%22Number%3A%22%2C+623%29%29

Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
a=hundreds
b=tens
c=ones So b=%281%2F3%29a and 2c=a. Also,a%2Bb%2Bc=11.
%281%2F3%29a%2B%281%2F2%29a%2Ba=11
%281%265%2F6%29a=11
cross%28%2811%2F6%29a=11%29
11a=66 highlight%28a=6%29 %281%2F3%296=2 highlight%28b=2%29 2c=6 highlight%28c=3%29
Number: highlight%28623%29