Solve the problem by using a system of equations. The sum of the digits of a two-digit number is 17. If the digits are reversed, the newly formed number is 9 larger than the original number. Find the original number.
A) 90
B) 98
C) 99
D) 89

Question

Quizplus · Accepted Answer

The original number can be represented as 10x + y, where x is the tens digit and y is the units digit. The conditions given are x + y = 17 and 10y + x = 10x + y + 9. Solving this system of equations, we find x = 8 and y = 9, making the original number 89.

Solve the Problem by Using a System of Equations