SOLUTION: in a 3-digit number, the hundreds digit is one half of the tens digit. The ones digit is one more than the tens digit. If the sum of the digits is 11, find the number.

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Question 1197306: in a 3-digit number, the hundreds digit is one half of the tens digit. The ones digit is one more than the tens digit. If the sum of the digits is 11, find the number.

Found 2 solutions by MathLover1, Edwin McCravy:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

let the tens digit be
then
the hundreds digit is
the ones digit is
If the sum of the digits is , we have
...........solve for


............both sides multiply by



the tens digit is
then
the hundreds digit is
the ones digit is
3-digit number is

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
Might know she'd do it for you instead of telling you how!
in a 3-digit number, the hundreds digit is one half of the tens digit.
h = t
The ones digit is one more than the tens digit.
u = t+1
If the sum of the digits is 11,
h+t+u = 11
find the number.
Substitute t for h, t+1 for u in

h+t+u = 11

t + t + t+1 = 11

Solve that for t.
Then find h by substituting what you got for t in h = t.
Then find u by substituting what you got for t in u = t+1.

Then write h,t,u in a row in that order.

Edwin


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