(469 + 174)^{2} - (469 - 174)^{2} | =? |
(469 x 174) |
Given exp. = | (a + b)^{2} - (a - b)^{2} |
ab |
= | 4ab |
ab |
= 4 (where a = 469, b = 174.)
Then x + 5x + 10x = 480
⟹ 16x = 480
∴ x = 30.
Hence, total number of notes = 3x = 90.
Then, x - 10 = y + 10 ⟹ x - y = 20 .... (i)
and x + 20 = 2(y - 20) ⟹ x - 2y = -60 .... (ii)
Solving (i) and (ii) we get: x = 100 , y = 80.
∴ The required answer A = 100.
Then, 11 + 57x = 51 - 63x ⟺ 120x = 40
x = | 1 |
3 |
Number of floors covered by David in (1/3) min. = | ❨ | 1 | x 57 | ❩ | = 19. |
3 |
So, their paths cross at (11 +19) i.e., 30^{th} floor.
Shots fired by A = | 5 | x |
8 |
Shots fired by B = | 3 | x |
8 |
Killing shots by A = | 1 | of | 5 | x | = | 5 | x |
3 | 8 | 24 |
Shots missed by B = | 1 | of | 3 | x | = | 3 | x |
2 | 8 | 16 |
∴ | 3x | = 27 or x = | ❨ | 27 x 16 | ❩ | = 144. |
16 | 3 |
Birds killed by A = | 5x | = | ❨ | 5 | x 144 | ❩ | = 30. |
24 | 24 |
1 | x = | 1 | (150000 - x) |
3 | 2 |
⟹ | x | + | x | = 75000 |
3 | 2 |
⟹ | 5x | = 75000 |
6 |
⟹ x = | 75000 x 6 | = 90000 |
5 |
∴ Savings in Public Provident Fund = Rs. (150000 - 90000) = Rs. 60000
= 29 - 9 = 20
⟹ab = 10.
Then, 10x = 4y or y = | 5 | x. |
2 |
∴ 15x + 2y = 4000
⟹ 15x + 2 x | 5 | x = 4000 |
2 |
⟹ 20x = 4000
∴ x = 200.
So, y = | ❨ | 5 | x 200 | ❩ | = 500. |
2 |
Hence, the cost of 12 chairs and 3 tables = 12x + 3y
= Rs. (2400 + 1500)
= Rs. 3900.
Original share of 1 person = | 1 |
8 |
New share of 1 person = | 1 |
7 |
Increase = | ❨ | 1 | - | 1 | ❩ | = | 1 |
7 | 8 | 56 |
∴ Required fraction = | (1/56) | = | ❨ | 1 | x | 8 | ❩ | = | 1 |
(1/8) | 56 | 1 | 7 |
Then, x x | 1 | x = | x | x 16 ⟺ x = 64. |
8 | 2 |
∴ Number of notebooks = | 1 | x^{2} = | ❨ | 1 | x 64 x 64 | ❩ | = 512. |
8 | 8 |
Copyright ©CuriousTab. All rights reserved.