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.

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.

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