Question

8. A two-digit number is 4 more than 6 times the sum of its digits. If 18 is subtracted
from the number, the digits are reversed. Find the number​

Answer 1

Answer:

64

Step-by-step explanation:

Let x= ones digit and y=tens digit 

According to the question ,

∴x+10y=6(x+y)+4⇒10y=6x+6y+4−x⇒4y=5x+4

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+44y=5(y−2)+44y=5y−6y=6

Substitute y into : 

∴y−2=x⇒6−2=x⇒4=x

∴ The number is 64.