Question

The sum of the digits of a two digit number is 5. On adding 27 to the number, it's digits are reversed. Find the original number

Answer 1

Answer:

41 /14

Step-by-step explanation:

let the 2 digit number be 10x+y (the digits are x , y)

so, x+y =5 →(eq.1)

10x +y +27 = 10y +x→(eq.2)

⇒10x -x +27 =10y -y

⇒9y - 9x =27

⇒y-x = 27/9 =3 →(eq.3)

subtracting  (eq.1) from (eq.2)

⇒ (x +y = 5)-( -x +y= 3)

⇒2x =8  ∴x=4

substitute x =4 in (eq.1)

x+y =5

∴y=1