a 2 digit number is such that ones didit is 1 more than the tens digit. the ratio of this number and the number formed by reversing its digit is 5:6. find the number
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let x+1 be the unit digit and let x be the tens digit so therefore the number is 10x+(x+1)=11x+1
and number formed by reversing the digit is
10(x+1)+x=11x+10
since these exist in ratio 5:6 respectively
therefore (11x+1)/(11x+10)=5/6
66x+6=55x+50
11x=44
x=4
therefore number is 10(4)+4+1=45
and number formed by reversing the digit is
10(x+1)+x=11x+10
since these exist in ratio 5:6 respectively
therefore (11x+1)/(11x+10)=5/6
66x+6=55x+50
11x=44
x=4
therefore number is 10(4)+4+1=45
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