A, B and C can complete a piece of work in 16, 32 and 48 days, respectively. They started working together but C left after working 4 days and B left 2 days before the completion of the work. How many days it took in total to complete the work?
The perimeter of a square field is equal to the perimeter of a rectangular field. Length of the rectangular field is 3 times of its width and the area 768 square meter. How many square sized tiles of 80 centimeter wide will be required to cover the square field?
The cost of two watches taken together is Tk. 840. If, by selling one at a profit of 16% and the other at a loss of 12%, there is no loss or gain in the whole transaction, find the cost of each of the two watches.
Solve the equation: 82x-1+93x-1=7x+1
82x-1+93x-1=7x+1 ⇒ 82x-1 + 93x-1 = 4x+1 + 3x+1 ⇒82x-1 - 4x+1 = 3x+1 - 93x-1 ⇒ 8 x+1 - 4 2x-1 2x-1 x+1 = 3 3x-1 -9 x+1x+1 3x-1 ⇒ 8x+8-8x+42x-1 x+1 = 9x -3 -9x-9x+1 3x-1
⇒ 122x-1 = -123x -1 (উভয় পক্ষকে (x + 1) দ্বারা গুণ করে ]
⇒ 12x-1 = -13x-1 [উভয় পক্ষকে 12 দ্বারা ভাগ করে ]
⇒ 3x-1=-2x+1 ⇒ 3x+2x=1+1 ⇒5x=2 ∴ x = 25