If 198 is subtracted from a three digit number the resulting number is the three digit number formed by reversing the digits of that number. The middle digit of the number equals the sum of its other two digits. The number is at least?
Answers
Answer:
110
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If 198 is subtracted from a three digit number the resulting number is the three digit number formed by reversing the digits of that number. The number can be 462 or 583
Solution:
All the three digit numbers can be represented by a general formula 100x +y ; where x and y are integers
Eg:- For x=1, y=2 we get 100×(1) + 2 = 102
If we change x=2 and y=1 we get , 100×(2) + 1 = 201
Which is the reverse of three digit number obtained
So, on reversing the general formula will be 100y + x
Given:- 198 is subtracted from a three digit number the resulting number is the three digit number formed by reversing the digits of that number
(100x + y) -198 = (100y + x)
100x + y – 198 = 100y + x
(100x – x) + (y – 100y) =198
99x – 99y = 198
x – y = 198 ÷ 99
x – y = 2
Also, The middle digit of the number equals the sum of its other two digits
The number could be 462 ,583
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