There are three numbers such that when the average of any of the two numbers is added with the third number, sum obtained will be 130, 142 and 154. Find the average of all three numbers.
Let the three numbers be a, b and c respectively. According to question; (a + b + 2c) = 130 × 2 = 260……………..(1) (a + 2b + c) = 142 × 2 = 284……………..(2) (2a + b + c) = 154 × 2 = 308……………..(3) From equation (1), (2) and (3) 4 × (a + b + c) = 852 a + b + c = 213 (a + b + c)/3 = 71
I. 195x² - 46x - 21 = 0
II. 209y² + 7y - 12 = 0
I. x² + 3x – 154 = 0
II. y² + 5y – 126 = 0
Quantity I: A vessel contains a mixture of milk and water in the ratio of 7 : 5. If 9 litre of mixture is sold and replaced by same amount of water the...
I. 2x² + 11 x + 15 = 0
II. 2y² - 19 y + 44 = 0
I. 5x² + 17x + 6 = 0
II. 2y² + 11y + 12 = 0
...I. 2x2- 5x - 33 =0
II. 2y2+ 5y - 25 = 0
I. 3p² + 13p + 14 = 0
II. 8q² + 26q + 21 = 0
I. 6y2- 17y + 12 = 0
II. 15x2- 38x + 24 = 0
I. 5x² -14x + 8 = 0
II. 2y² + 17y + 36 = 0
I. 2x² - 9x + 10 = 0
II. 3y² + 11y + 6 = 0
