Solve Digit Word Problems
Related Topics:
Digit Word Problems that involve the interchanging of digits
More Lessons for Grade 6
Math Worksheets
What are Digit Word Problems?
Digit word problems are problems that involve individual digits in integers and how digits are related according to the question.
Some problems would involve treating the digits as individual numbers to be related. This would make it similar to an integer problem, except that the integers are between 0 and 9, inclusive.
In this lesson, we will focus on problems that involve relationship between the digits themselves. They often involve phrases like:
“The sum of the digits is…"
“The difference between the digits is…"
“One digit is twice the other digit…"
In another lesson, we will focus on problems that involve reversing the digits of a number and comparing the resulting number to the original. Learn more digit word problems
Problems involving Digits
Steps for Solving Digits Problems:
- Define variables for the digits of the number.
- Set up the equations:
Translate the given information into equations. Look for clues like:
“The sum of the digits is…"
“The tens digit is twice the units digit…"
“The number is equal to a certain multiple of the sum of its digits…" - Solve the equation or system of equations.
- Check the solution to ensure it makes sense in the context of the problem. Digits must be whole numbers between 0 and 9. If you get a fractional answer, there might be an error in the problem or your calculations.
The following diagram shows how to solve a digit word problem that involve relationship between the digits themselves. Scroll down the page for more examples and solutions.
Example:
The ten’s digit of a number is three times the one’s digit. The sum of the digits in the number is 8. What is the number?
Solution:
Step 1:
Sentence: The ten’s digit of a number is three times the one’s digit.
Assign variables:
Let x = one’s digit
3x = ten’s digit
Sentence: The sum of the digits in the number is 8.
x + 3x = 8
Step 2:
Solve the equation
x + 3x = 8
Isolate variable x
4x = 8
x = 2
The one’s digit is 2. The ten’s digit is 3 × 2 = 6
Answer: The number is 62.
The following video gives another example of a digit word problem.
Example:
The sum of the digits of a two-digit number is 7. The value of the number is 2 less than 12 times the tens digit. Find the number.
Example:
The sum of the digits in a 2-digit number is 12. If the tens digit is 2 less than the ones digit, find the number.
Example:
The sum of the digits in a 2-digit number is 12. If the tens digit is 3 times the ones digit, find the number.
Example:
In a 3-digit number, the hundreds digit is one half of the tens digit. The ones digit is one more than the tens digit. If the sum of the digits is 11, find the number.
Check out many other Algebra Word Problems
Age Word Problems, Average Word Problems, Coin Word Problems, Consecutive Integer Word Problems, Digit Word Problems, Distance Word Problems, Fraction Word Problems, Geometry Word Problems, Integer Word Problems, Interest Word Problems, Lever Word Problems, Mixture Word Problems, Money Word Problems, Motion & Distance Word Problems, Number Sequence Word Problems, Proportion Word Problems, Quadratic Equation Word Problems, Ratio Word Problems, Symbol Word Problems, Variation Word Problems, Work Word Problems.
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.