Question

The sum of digits of a three-digit number is 16. If the hundreds' digit is half the units' digit and equal to the tens' digit, what is the number?

Answer 1

So you have a number of the form xyz, and you're told that \(x+y+z=16\). What else are you told about these digits?

Answer 2

Those are the only information given.

I guess then that x= 1/2z and y=x.

Answer 3

Exactly! So in the equation \(x+y+z=16\), you can replace the y, and the z with terms involving x. What does that look like?

Answer 4

Ooooh I get it.
Umm,
x+x+2x=16
4x=16
x=4

:)

Answer 5

congrats! Now you have to figure out what y, and z are.

Answer 6

Lol.
x=4 then because y=x, y=4.
then x=1/2z or, 2x=z. So, 2(4)=z which is 8.

The number's 484. Thanks :D

Answer 7

Close! It's 448, remember that it's xyz, not xzy :)

Answer 8

Lol. My bad. :)