InterviewSolution
Saved Bookmarks
| 1. |
Three numbers are in the ratio 4 ∶ 5 ∶ 6. If the sum of their squares is 1925, then what are the numbers?1). 20, 25, 302). 15, 20, 403). 20, 35, 304). 40, 20, 10 |
|
Answer» LET the three numbers be 4x, 5x and 6x. The sum of their squares = 1925 ⇒ (4x)2 + (5x)2 + (6x)2 = 1925 ⇒ 16x2 + 25x2 + 36x2 = 1925 ⇒ 77x2 = 1925 ⇒ x2 = 1925/77 = 25 ⇒ x = 5 The three numbers are 4x = 20, 5x = 25 and 6x = 30 Hence, the three numbers are 20, 25 and 30. |
|