Question

A two digit number is seven times the sum of its digits, the number formed by reversing the digit is 8 times less than the original number.​

Answer 1

Answer:

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

⇒10x+y=7x+7y

⇒3x−6y=0

⇒x−2y=0 ....(1)

And 10y+x=6+

2

(10x+y)

⇒20y+2x=12+10x+y

⇒8x−19y=−12 ....(2)

Solving equations (1) and (2), we get

x=8;y=4

So, the difference of the digits is 8−4=4.