Question

The sum of digits of a two digit number is 3.If 9 is added to the number the digits are reversed. Find the number

Answer 1

Answer:

The number is 12.

Step-by-step explanation:

Let the digit in the tens place be x.

Let the digit in the ones place be y.

Original number = (x*10)+y

Given, x + y = 3 => x = 3 - y ------ Eq 1

And, (x * 10) + y + 9 = (y * 10) + x -------- Eq 2

Substituting Eq 1 in Eq 2,

[(3 - y) * 10] + y + 9 = (y * 10) + 3 - y

=> 30 - 10y + y + 9 = 10y + 3 - y

=> 39 - 9y = 9y + 3

=> 39 - 3 = 9y + 9y

=> 36 = 18y

=> y = 36/18 = 2

Substituting y = 2 in Eq 1,

x = 3 - 2 = 1

Orginial number = (1 * 10) + 2 = 10 + 2 = 12

Answer 2

Answer:

Yes the answer by the richapriya dude is absolutely correct