Question

the sum of digits of a two digit number is 12. If 18 is aaded to the number, the digits are reversed. Find the original number.​

Answer 1

Answer:

57

Step-by-step explanation:

Any two digit number can be represented as 10X + Y.

On adding 18, the number is reversed, so

Now, 10X + Y + 18 = 10Y + X

So, you will get one equation that is

9X + 18 = 9Y

So, Y = X + 2.

And as sum of this number is 12, X + Y = 12, So, X will be 5 and Y will be 7.

Original number is, 10X + Y = 57.

Answer 2

Answer:

x+y=12------(2)

10x+y+18=10y+x

9x-9y=-18

x-y=-2---(1)

2x=10(adding 1 and 2)

x=5,y=7

original no.=57(10x+y)