# digit problem

# Digit-related Problems

For any three digit number.

Let

x = the hundreds digit

y = the tens digit and

z = the units digit

The number = 100x + 10y + z

The number with digits reversed = 100z + 10y + x

The sum of digits = x + y + z

The product of digits = xyz

Example

In a three digit number, the hundreds digit is twice the units digit. If 396 be subtracted from the number, the order of the digits will be reversed. Find the number if the sum of the digits is 17.

Solution

Let

$x$ = hundreds digit

$y$ = tens digit

# 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.