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?
Accepted Solution
A:
Answer: [tex]t=\frac{u}{2}[/tex] would complete the systemNumber is 36Step-by-step explanation:Let t = the tens digit, u = the units digitWe have the sum of the two digits of a number is 9 t + u = 9We 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 = 3So the number is 36.