Question

The sum of the digits of a 2-digits number is 11 .The number obtained by interchanging the digits exceed the original number by 27. find the number

Answer 1

let the ones digit be x
and tens digit be y

y + x = 11 ii)


10y + x - 27 = 10x + y

x - y = -3 i)
x + y = 11

2x = 8

x = 4

x + y = 11

y = 7

number = 74