Concept explainers
To solve: the problems about three-digit numbers.
Answer to Problem 24P
The 3-digit number is 780.
Explanation of Solution
Given information:
A three-digit number, which is divisible by 10, has a hundreds digit that is one less than its tens digit. The number also is 52 times the sum of its digits.
Formula used:
Digit problems are based on our decimal system of numeration.
Step1. The problem asks for the original number.
Step2. Let h = the hundreds digit of the original number.
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 the 3-digit number be
Let t = the tens digit of the original number.
Let 0 = the ones digit of the original number.
Let h =
Hundreds | Tens | Units | Value | |
Original number |
According to the question:-
The hundreds digit is
Hundreds | Tens | Units | Value | |
Original number |
The 3-digit number is 780.
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Algebra: Structure And Method, Book 1
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