Question
Present age of ‘A’ is 40% more than that of ‘B’.
If 10 years hence from now, ‘B’ will be 4 years younger than ‘A’, then find the sum of present ages of ‘A’ and ‘B’.Solution
Let present age of ‘B’ be ‘x’ years Present age of ‘A’ = x × 1.40 = ‘1.40x’ years ATQ; (x + 10) + 4 = (1.40x + 10) Or, x + 14 = 1.40x + 10 Or, 4 = 0.40x Or, x = 10 So, present age of ‘B’ = 10 years And, present age of ‘A’ = 10 + 4 = 14 years Required sum = 10 + 14 = 24 years
- Suppose both the roots of q² + kq + 49 = 0 are real and equal, then determine the value of 'k'.
I. 84x² - 167x - 55 = 0
II. 247y² + 210y + 27 = 0
l). 2p² + 12p + 18 = 0
ll). 3q² + 13q + 12 = 0
I. 2x² - 9x + 10 = 0
II. 3y² + 11y + 6 = 0
I. 6x2 - 47x + 77 =0
II. 6y2 - 35y + 49 = 0
I. 12a2 – 55a + 63 = 0
II. 8b2 - 50 b + 77 = 0
...I. 2y2 – 19y + 35 = 0
II. 4x2 – 16x + 15 = 0
I. 5x² - 24 x + 28 = 0
II. 4y² - 8 y - 12= 0
In each of these questions, two equations (I) and (II) are given.You have to solve both the equations and give answer
I. x2 – ...
I.8(x+3)+ 8(-x)=72
II. 5(y+5)+ 5(-x)=150