Solution:Let units's digit be y and len's ligit be x.According to the question,
10x + y = 2(x + y)
8x -y = 0 ........(i)
∴ x = y/8
Again, 10y + x = 10x + y + 63
9y - 9x = 63
⇒ y - x = 7  ....... (ii)
Putting, x = y/8 in equation (ii),
⇒ y - y/8 = 7
⇒ 7y/8 = 7
⇒ y = 8
Puttingy = 8 in equation (i),
8x - 8 = 0
⇒ x = 1
∴ Number 10x + y = 10 x 1 + 8 = 18