Australia destroyed the board (A)/in the swimming,

How many values of x and y satisfy the equation 2x + 4y = 8 & 3x + 6y = 10.

I. 2y² - 35y + 132 = 0

II. 2x² - 31x + 110 = 0

LCM of 'x' and 'y' is 30 and their HCF is 1 such that {10 > x > y > 1}.

I. 2p²- (x + y) p + 3q = 0

II. 2q² + (9x + 2) = (3x + b) q

I). p² - 20p + 51 = 0,

II). 2q² - 7q + 6 = 0

I. 27x² + 120x + 77 = 0

II. 56y² + 117y + 36 = 0

What will be the product of smaller roots of both equations. 

I. 2x² - 9x + 10 = 0

II. 3y² + 11y + 6 = 0

I.  2p² - 11p + 12 = 0

II. 2q² - 17q + 36 = 0

Solve the quadratic equations and determine the relation between x and y:

Equation 1: 29x² - 137x + 108 = 0

I. 2x² + 13x + 21 = 0

II. 3y² + 34y + 63 = 0