Question

A number of two
digits is six timer
the sum of it's
digits. If g 18 subtroded
from the number, the
, digese
reversed. what is the
number​

Answer 1

Answer:

108

Step-by-step explanation:

Let x= ones digit and y=tens digit

According to the question ,

∴ x + 10y = 6 (x+y)

⇒10y = 6x + 6y - x

⇒4y = 5x

And , from if 18 is substracted from the number , the digits are reversed ,

∴x + 10y − 18 = y + 10x

⇒10y − 18 = y + 9x

⇒9y − 18 = 9x

⇒y − 2 = x

Substitute x value into :

4y = 5x

4y = 5(y-2)

4y= 5y-10

y=10

Substitute y value into :

∴ y-2=x

10-2= x

8=x

∴ the number is 108