11. If the first and the last digits of a three-digit number
differ by 3, what is the difference between the three-
digit number and the number formed by reversing its
digits?
(A) 99
(B) 198 (C) 297 (D) 396
Answers
Answered by
14
HEY MATE,LET ME HELP YOU WITH YOUR QUERY...
Let the unit digit be 'z' , tens digit be 'y' and hundreds digit be 'x'
∴ 3 digit number is 100x + 10y + z and number after reversing the digits is 100z + 10y + x
It is given that x - z = 3 ------(1)
100x + 10y + z - ( 100z + 10y + x )
= 100x + 10y + z - 100z - 10y - x = 99x - 99z
= 99(x - z)-------(2)
Substituting (1) in (2)
=> 99(3) = 297
∴ Difference between the three digit number and the number formed by reversing its digits is 297 .
HOPE YOU ARE REALLY HELPED MATE,PLEASE CONSIDER MARKING MY ANSWER AS BRAINLIEST....
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