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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.

Respuesta :

konrad509
[tex]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 [/tex]
3sspam

Answer:

ANSWER IS C

Step-by-step explanation: