Question

A 2 digit number is one more than 6 times the sum of its digits. If the digits are reversed, the new number is 9 less than the original number. Find the original number

[Sol] Let the number be 10x + y.

Answer 1

ANSWER IS C

Explanation:

Answer 2

`10x+y=6(x+y)+1\\ 10y+x=10x+y-9\\\\ 10x+y=6x+6y+1\\ 9x-9y=9\\\\ 4x-5y=1\\ x-y=1\\\\ 4x-5y=1\\ \uinderline{-4x+4y=-4}\\ -y=-3\\ y=3\\\\ x-3=1\\ x=4\\\\ 10\cdot4+3=43`