Question
A is 5 years older than B. After 3 years, ratio of the
age of B and that of her father will be 1:3. Present age of B’s father is 45 years and C is 4 years older than A. Find the respective ratio of the present ages of B and C. TYPE TSolution
After 3 years, Age of B’s father = 45 + 3 = 48 years Age of B = 1/3 × 48 = 16 years Present ages, B = 16 – 3 = 13 years A = 13 + 5 = 18 years C = 18 + 4 = 22 years Required ratio = 13:22
I. 4x2 – 53x – 105 = 0
II. 3y2 – 25y + 48 = 0
Equation 1: x² - 144x + 5184 = 0
Equation 2: y² - 130y + 4225 = 0
I. x2 – 12x + 32 = 0
II. y2 + y - 20 = 0
I. 15y2 + 26y + 8 = 0
II. 20x2 + 7x – 6 = 0
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y.
I. x
Roots of the quadratic equation 2x2 + x – 528 = 0 is
I. p2Â - 53p + 672 = 0
II. q2Â - 27q + 126Â = 0
I. 2x² - 9x + 10 = 0
II. 3y² + 11y + 6 = 0
I. √(74x-250 )– x=15
II. √(3y²-37y+18)+ 2y=18
Equation 1: x² - 45x + 500 = 0
Equation 2: y² - 60y + 600 = 0