1.

4. A two digit number becomes five-sixth of itselfwhen its digits are reversed. The two digits differby 1. The number is

Answer»

suppose digits are x and ydifference is one so x-y=1 so x=y+1now original number is 10x+yand reverse of number is 10y+xwhen digits are reversed number becomes 5/6 of original10y+x=(5/6)(10x+y)60y+6x=50x+5y55y=44x5y=4xnow x=y+15y=4y+4so y=4so x=5so original number is 54



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