Algebra Word Problem Digit Problems

The video tutorial covers solving word problems involving digits, focusing on two-digit and three-digit numbers. It explains how to set up equations based on given conditions, such as the sum of digits or relationships between them. The tutorial includes examples of basic, advanced, and complex problems, including those involving digit reversal. Each problem is broken down step-by-step to demonstrate the process of forming and solving equations to find the correct number.

What is the sum of the digits of a two-digit number if the tens digit is 3 less than the ones digit?

• 8

• 9

• 10

• 11

What is the value of the tens digit if the sum of the digits of a two-digit number is 11 and the tens digit is 3 less than the ones digit?

• 3

• 2

• 5

• 4

If the tens digit is twice the ones digit, and their sum is 12, what is the number?

• 96

• 84

• 48

• 36

If the tens digit is twice the ones digit, what is the tens digit if their sum is 12?

• 8

• 10

• 6

• 4

When the digits of a number are reversed, the new number is 9 more than the original. What is the sum of the digits?

• 3

• 5

• 7

• 9

What is the original number if reversing its digits results in a number that is 9 more than the original?

• 41

• 23

• 50

• 32

In a two-digit number, the ones digit is one more than the tens digit. If the digits are reversed, the new number is 48 more than half of the original. What is the original number?

• 78

• 45

• 34

• 23

In a two-digit number, the ones digit is one more than the tens digit. What is the number if reversing the digits results in a number 48 more than half of the original?

• 78

• 89

• 90

• 67

For a three-digit number, if the hundreds digit is half of the tens digit and the ones digit is one more than the tens digit, what is the sum of the digits if it equals 11?

• 245

• 325

• 352

• 254

What is the hundreds digit in a three-digit number if it is half of the tens digit and the sum of the digits is 11?

• 3

• 2

• 4

• 1