Mathematics
The lengths (in meters) of the sides of a triangle are 2x + y/2, 5x/3 + y + 1/2 and (2/3)x + 2y + 5/2. If the triangle is equilateral, find its perimeter.
Related Questions
Three years hence a man's age will be three times his son's age, and 7 years ago he was seven times as old as his son. How old are they now?
Rectangles are drawn on line segments of fixed lengths. When the breadths are 6m and 5m respectively the sum of the areas of the rectangles is 83 m2. But if the breadths are 5m and 4m respectively the sum of the areas is 68 m2. Find the sum of the areas of squares drawn on the line segments.
If the length and breadth of a room are increased by 1 metre each, the area is increased by 21 square meters. If the length is decreased by 1 meter and the breadth is increased by 2 meters, the area is increased by 14 square meters. Find the perimeter of the room.
On Diwali eve, two candles, one of which is 3 cm longer than the other, are lighted. The longer one is lighted at 5.30 p.m. and the shorter at 7 p.m. At 9.30 p.m. they both are of same length. The longer one burns out at 11.30 p.m. and the shorter one at 11 p.m. How long was each candle originally?