Question

The sum of two digits of a number is 10.If 18 will be added in number,the digits are interchange.find out the number.

Answer 1

Let the tens place digit be a

And unit place digit be b

According to first condition,

a + b = 10 -------(1)

According to second condition,

10a + b + 18 = 10b + a

=> 10a + b - 10b - a = - 18

=> 9a - 9b = - 18

=> a - b = - 2 ------(2)

On adding equation 1 and 2, we get

2a = 8

=> a = 4

Now,

On substituting the value of a in equation 1, we get

4 +b = 10

=> b = 6

Required number = 46

Answer 2

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