The sum of the two digits of a number is 9. If the tens digit is one-half the units digit, what is the number?

Let t = the tens digit, u = the units digit, and t + u = 9. Which of the following equations would complete the system?

Respuesta :

Answer:

[tex]t=\frac{u}{2}[/tex] would complete the system

Number is 36

Step-by-step explanation:

Let t = the tens digit, u = the units digit

We have the sum of the two digits of a number is 9

          t + u = 9

We also have the tens digit is one-half the units digit

       [tex]t=\frac{u}{2}[/tex]

Substituting

            [tex]\frac{u}{2}+u=9\\\\\frac{3u}{2}=9\\\\u=6[/tex]

               t + 6 = 9

               t = 3

So the number is 36.

Answer: correct answer is t=1/2u

Step-by-step explanation: