Question

sum of digits of two digits number is 9when we interchange the digits it is found that the resulting ee numbers us greater than the original number by27 what is the two digits number



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Answer 1

Let the unit digit be y and tens digit be x

Number formed = 10x + y

Reverse number = 10y + x

x + y = 9 (Given)…………………………eq1

10y + x = 10x + y + 27…………………….eq2

9y - 9x = 27

y - x = 3……………………………………..eq3

Solving eq1 and eq3 ,we get

x = 3 and y = 6

Original Number = 36 Reversed Number = 63..

Answer 2

Let the first equaton be, x+y=9

Let the original number be 10x+y and the new umber be 10y+x

The second eqn iss 10y+x=27+10x+y

= 9y-9x=27

=y-x=3= -x+y=3

solve eqn 1 and 2

that gives y=6, x=3

The two digit no is 36............