# Digit-related Problems

**Problem**

The digits of a three-digit number are in arithmetic progression. If you divide the number by the sum of its digits, the quotient is 26. If the digits are reversed, the resulting number is 198 more than the original number. Find the sum of all the digits.

A. 9 | C. 15 |

B. 12 | D. 18 |

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## Example 01 | Digit-related problem

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## Digit-Related Problems

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*

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## Verbal Problems in Algebra

The following is an attempt to classify the verbal problems.

**Number-related problems**

Number-related problems are considered as the most basic type of verbal problems. It is taken as the base point of analysis for more complex type of problems.

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