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Digital original wanted
Posted: Mon Feb 10, 2014 9:58 pm
by Raiyan Jamil
If hundreds and units digits of a three digit number are switched , the new number is 297 greater than the original number . If the tens and units digits are switched , the new number is 9 greater than the original number . The sum of the digits is 11 . What is the original number ?
Re: Digital original wanted
Posted: Mon Feb 10, 2014 10:23 pm
by nishat protyasha
The ans is 245.
Re: Digital original wanted
Posted: Tue Sep 16, 2014 11:24 am
by tanmoy
suppose,the three digit number is 100x+10y+z.So,
100x+10y+z+297=100z+10y+x.
Or,99x+297=99z.
Or,99(x+3)=99z.
Or,x+3=z.
Again,100x+10y+z+9=100x+10z+y.
Or,9y+9=9z.
Or,9(y+1)=9z.
Or,y+1=z.So,x+3=y+1.Or,y=x+2
so,x+x+2+x+3=11.
Or,3x+5=11.
Or,3x=6.
Or,x=2.So,y=4,z=5
So,the number is 245