Question

The sum of the digits of a two-digit number is 1/7of the number. If the digits are reversed.the new number becomes 18 less than the original number. Find the number.​

Answer 1

Answer:

The digits are 4 and 2.

Step-by-step explanation:

Let the digits be x and y

x+y=1/7×(10x+y)

7(x+y)=10x+y

7x+7y=10x+y

7y-y=10x-7x

6y=3x

2y=x---------☆

Also,

10y+x=10x+y-18

10y-y=10x-x-18

9y=9y-18

18=9x-9y

18=9(x-y)

2=x-y

x-y=2

2y-y=2(From ☆)

y=2

x-y=2

x-2=2

x=2+2

x=4

HOPE THIS BRING A SMILE IN YOUR FACE