# Solve Digit Word Problems

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.

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

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.

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. 