Question
There are five friends, P, Q, R, S and T. P says to Q,
“If you give me Rs 300, you will have as many as I have at this moment. If S takes Rs 500 from you, he will have as much money as T has now. P and R together has twice much money as T has. Q and S combined have same amount of money as P and R combined. If together they have Rs 15000, How much money R has?Solution
P takes 300 from Q i.e., P + 300 = Q – 300 Q – P = 600 ---------------------------(1) S takes 500 from Q, then Q – 300 – 500 = T Q – 800 = T ----------------------------(2) P + R = 2T ---------------------------- (3) Q + S = P + R -------------------------(4) Put equation (3) in (4), we get Q + S = 2T -----------------------------(5) Total, P + Q + R + S + T = 15000 Put (3) & (5) 2T + 2T + T = 15000 5T = 15000 T = 3000 Put T in (2) Q = 3800 Put Q in (1) P = 3200 Put P and T in (3) 3200 + R = 6000 R = 2800
l. x2 - 16x + 64 = 0
II. y2Â = 64
I). p2 + 22p + 72 = 0,
II). q2 - 24q + 128 = 0
One of the roots of the equation x² – 12x + k = 0 is x = 3. The other root is ___________.
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 27x² - 114x + 99 = 0
Equation 2: 18y² - 70y + 68 = 0
I. 40x² + 81x + 35 = 0
II. 63y² + 103y + 42 = 0
I. 8x – 3y = 85
II. 4x – 5y = 67
I. 6x² + 37x + 45 = 0
II. 3y² - 11y + 6 = 0
l). 3p + 2q = 27
ll). 4p - 3q = 2
I. 6x² - 23x + 7 = 0
II. 6y² - 29y + 9 = 0
If α, β are the roots of the equation x² – px + q = 0, then the value of α2+β2+2αβ isÂ
...
Relevant for Exams:
