SOLUTION: How many whole numbers are there, such that if its digits are reversed and then subtracted from the original number, the result is 198?
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Question 335299: How many whole numbers are there, such that if its digits are reversed and then subtracted from the original number, the result is 198?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let the original number be ABC, where the numerical value is .
The reverse number would be CBA or numerically .
.
.
A, B, and C can take on values from to .
For each value of B, there are A,C values.
So there would be or number pairs that meet this criteria.
If leading zeros aren't allowed (like 012/210), then reduce the B values allowed by 1, and then or 72 number pairs are allowed.
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