How do I solve these math problems?

Question

Please explain to me!

1. Three numbers form an arithmetic sequence with a common difference of 4. If the first number is increased by 2, the second number by 3, and the third number by 5, the resulting numbers form a geometric sequence. Find the numbers.

2. 3^2x+1 = 5^3x-1 Solve for x.

3. In a triangle, find c if a=3, b=2 and gamma = 30 degrees.
(a is opposite angle alplha, b opposite angle beta, c opposite gamma)

Thanks a whole bunch!

Answer 1

1)
x
x+4
x+8


x+2
x+7
x+13

r=(x+7)/(x+2)=(x+13)/(x+7)

or x=49-26=23

AP: 23 , 27 , 31

GP: 25 , 30 , 36

Answer 2

The question asks you in looking "if six hundred represents one hundred what does 174 characterize?" six hundred ->one hundred 174 -> ? which interprets to an mathematical equation ? = (one hundred*174)/six hundred ? = 29 So the answer is 29 p.c. of six hundred is 174. In different words a similar sentence transaltes to "174 is 29 p.c. of six hundred"