The ratio of a and B is 9 to 8. If B increases by 34, then the quotient of a divided by B is 7 / 10. What is B?

The ratio of a and B is 9 to 8. If B increases by 34, then the quotient of a divided by B is 7 / 10. What is B?

Let a be 9x and B be 8x;
9x/(8x+34)=7/10
x=7
B is 8x = 56