digit problem

Example 01 | Digit-related problem

Problem
The sum of the digits of a three-place number is 19. If the tens and units digits are interchanged the number is diminished by 27, and if the hundreds and tens digits are interchanged the number is increased by 180. What is the number?
 

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.
 

Digit-related problems

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