the middle digit of a 3 digit number is 0 and the sum of other two digit is 11. if the number obtained by reversing the digits exceeds original number by 495. find the number
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Answer:
The number is 308
Step-by-step explanation:
Let us assume that the number is 'abc'
Given information : b = 0 and a + c = 11
A 3 digit number can be written as 100a + 10b + c
The reverse would be cba which is, 100c + 10b + a
From the question, we know that the abc = cba + 495
100a + 10b + c = 100c + 10b + a + 495
99a - 99c = 495
a + c = 11
We get a = 8 and c = 3
The number is 308 and 308+495 = 803
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