To solve: the problems about two-digit numbers.
Answer to Problem 2ST
The number is 96.
Explanation of Solution
Given information:
The sum of the digits in a two-digit number is 15. If the digits are reversed , the number is decreased by 27.
Formula used:
Digit problems are based on our decimal system of numeration.
Step1. The problem asks for the original number.
Step2. Let t = the tens digit of the original number.
Let u = the units digit of the original number.
Step3. Use the facts of the problem to write two equations.
Step4. Solve the equations.
Calculation:
Consider ,
Let t = the tens digit of the original number.
Let u = the units digit of the original number.
Tens | Units | Value | |
Original number | t | u | |
Number reversed | u | t |
According to the question,
Also,
Adding equation (i) and (iii) we get,
Putting value of t in equation (i),
Thus , the 2-digit number is 96.
Chapter 9 Solutions
Algebra: Structure And Method, Book 1
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