Question
Two numbers are in the ratio 6:5. After adding 2 and 4
to them respectively the ratio becomes 2:3. Find the bigger number.Solution
Let the two number’s be 6x and 5x. According to the question, => (6x+2)/(5x+4) = 2/3 => 18x + 6 = 10x + 8 => x = 1/4 So, the bigger number will be, => 6x = 6 × (1/4) = 3/2
 If 4x = 40, 3y = 33, what is the value of 6x + 4y?
I. 2y² - 3y – 14 = 0
II. 3x² - 7x + 4 = 0
If a quadratic polynomial y = ax2 + bx + c intersects x axis at a and β, then
I. 7x + 8y = 36
II. 3x + 4y = 14
I. 4p² + 17p + 15 = 0
II. 3q² + 19q + 28 = 0
The equation x2 – px – 60 = 0, has two roots ‘a’ and ‘b’ such that (a – b) = 17 and p > 0. If a series starts with ‘p’ such...
I. x2 + 16x + 63 = 0
II. y2 + 2y - 15 = 0
I. 40 x² - 93 x + 54 = 0
II. 30 y² - 61 y + 30 = 0
I. x + 1 = 3√ 9261
II. y + 1 = √ 324
I. 35x² - 24x – 35 = 0
II. 72y² - 145y + 72 = 0