CE 111-
BASIC CE MATH
Lesson 8
Algebra
Digit-Related Problems
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Algebra: Solving Digit-Related Problems, Lecture notes of Mathematics
This lecture focuses on algebra problems where the digits of a number are related. examples and solutions for finding three-digit numbers based on given conditions, such as the sum or difference of digits or the reversal of digits. Students will learn how to apply the concepts of digit place value and basic arithmetic to solve these types of problems.
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2021/2022
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CE 111-
BASIC CE MATH
Lesson 8 Algebra Digit-Related Problems
LECTURE
OBJECTIVES
The primary objective of this lecture is to learn about verbal problems in algebra.
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ALGEBRA
For any three-digit number, let h = the hundreds digit t = the tens digit and u = the units digit
The number = 100 h + 10 t + u The number with digits reversed = 100 u + 10 t + h The sum of digits = h + t + u The product of digits = htu
ALGEBRA
Example:
In a three digit number, the hundreds digit is twice the units digit. If 396 be subtracted from the number, the order of the digits will be reversed. Find the number if the sum of the digits is 17.
Solution:
ALGEBRA
ALGEBRA
Example:
The sum of the digits of a three-place number is 19. If the tens and units digits are interchanged the number is diminished by 27, and if the hundreds and tens digits are interchanged the number is increased by 180. What is the number?
Solution:
ALGEBRA
ALGEBRA
ANSWERS:
ANSWER KEYS
ANSWERS:
ANSWER KEYS