Question

The sum of the digits of a two digit number is 7 . When the digits are interchanged, it is found that the resulting new number is greater than the original number by 27 . Find the number .

Answer 1

Let the digits at units and tens place in the given number be x and y respectively.

i)Number formed by interchanging the digits =

ii)By using cross-multiplication, we have

iii)Putting the values of x and y in equation (i), we get

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