A three digit number is written down;then the same digits are reversed to give a new 3 digit number .The smaller of these numbers is subtracted from the larger.Which will be the result?
(a)729(b)189(c)198(d)459
Please tell the answer step by step and try to tell fast
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Answered by
1
a three digit number is represented as 100x+10y+z
and it's reverse is represented as 100z+10y+x
(100x+10y+z)-(100z+10y+x)=99(x-z)
as the difference is a multiple of 99
so option c)198 is the number as 99(2)=198
and it's reverse is represented as 100z+10y+x
(100x+10y+z)-(100z+10y+x)=99(x-z)
as the difference is a multiple of 99
so option c)198 is the number as 99(2)=198
Answered by
0
198 is the answer 99*2=198
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