Question

The sum off the digita of 2 number is 11 if we add 45 to the number,the new number obtained is a number formed by interchange of the digit.what is the number

Answer 1

38

ANSWER:-

Let x is the first digit of number and second digit of number is y.

So the number is 10*x + y

As it is given that sum of digits is 11

So x + y = 11

And it is also given that if we add 45 to the number, the new number obtained is a number formed by interchange of the digits

So 10*x + y + 45 = 10*y + x

Putting, y = 11 - x in above equation

10x + (11 - x) + 45 = 10*(11 - x) + x

10x + 11 - x + 45 = 110 - 10x + x

18x = 54

x = 54/18

x = 3

As x + y = 11

y = 11 - x

y = 11 - 3

y = 8

So number is 10*3 + 8 = 30 + 8 = 38

Hence the number is 38