Question

The middle digit of a number between 100 and 1000 is zero and the sum of other
digit is 13. If the digits are reversed, the number so formed exceeds the original
number by 495. Find the number.​

Answer 1

Answer:

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Explanation:

Value of the number is 100X + Y

Value of number when it reversed is 100Y + X

It says 100Y+ X - (100X+Y ) = 495

99Y-99X=495

As we know X +Y=11 we can replace Y by 11-X

99 ( 11-X) - 99X =495

(1089-99X)-99X=495

-198X= -594

X=3

Hence Y =8

Number is 308 .