Question

the sum of the digits of 2 digit number is 9also 9 times this number is twicedthe number obtained by reversing the digits find the digits​

Answer 1

Answer:

18 is the number. The 2 digits are 1 and 8

Step-by-step explanation:

let the digit at ten's place be x

let the digit at ones place be y

x + y = 9 -------------Equation 1

Now it is given that 9 times the number is equal to twice the number obtained by reversing the digits. This means -

   9 (10x + y) = 2 (10y + x)

⇒ 90x + 9 y = 20y + 2x

⇒ 88x = 11y

⇒ y = 8x ---------------Equation 2

Now apply value of Y on equation 1, we get -

   x + y = 9

⇒ x + 8x = 9

⇒ 9x = 9

⇒ x = 9/9 = 1

Now the value of Y is -

    x + y = 9

⇒ 1 + y = 9

⇒ y = 8

As the value of x and y are 1 and 8 respectively, the 2 digit number = 18