Question

16. a two digit number becomes five-sixth of itself when its digits are reversed. the two digits differ by one. the number is _____

Answer 1

65 because the given five sixth is reversed and difference between those numbers are 1 so the reverse number of 56is 65 and difference is 1 hence the answer is 65

Answer 2

let the number be xy

xy=10x+y

if we reverse it,

yx=10y+x

according to question,

10x+y=5(10y+x)/6

60x+6y=50y+5x

55x=44y

according to question,

x-y=1

case 1::--y=x-1

55x=44(x-1)

11x=-44

x=-4

case 2::--x-y=1

x=y+1

55x=44(x+1)

11x=44+x=4

y=3

so the number is 43

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