Question

a two-digit number is seven times the sum of its digits .if 27 is subtracted number ,its digit get interchanged.find the reversed number
answer its an emergency

Answer 1

Answer:

36.

Step-by-step explanation:

Let the digit at unit's place be y and the digit at ten's place be x.

Original number= 10x + y

Given, 10x + y = 7(x+y)

         ⇒ 10x + y= 7x + 7y

         ⇒ 3x - 6y = 0

    (/3)     ⇒ x= 2y     ........(1)

When 27 is subtracted from the number the digits are reversed.

After reversing the digits, the number = 10y +x  

=> (10 x+ y )- 27 = 10y + x

=> 9 x- 9y = 27

=>x -y = 3 ........................(2)

⇒ 2y - y = 3     (from 1)

⇒ y = 3

Substituting in 2,

⇒ x - 3 = 3

⇒ x = 6

Reversed number =  10y + x = 30 + 6 = 36

Therefore, the reversed number is 36.

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