The number of rooms at hotel g is 10 less than twice the number of rooms at hotel h. if the total number of rooms at hotel g and hotel h is 415, what is the number of rooms at hotel g? *

We have the equation: rg = 2 x rh - 10 and rg + rh = 415;
We solve them: rg = 2 x rh - 10 and rg = 415 - rh;
Then, 2 x rh -10 = 415 - rh;
Finally, 3 x rh = 425;
rh = 425 ÷ 3;
rh = 141,66 (the number of rooms at hotel h). There is something wrong with this number and there is something wrong with the this problem!!!

I’m not absolutely sure but i think it’s 7x6x5x4x3x2=5040 because as the first character you can take any of the 7 given then you are left with 5 then 6 then 4 etc.