Question
Ratio of present ages of mother and her son is 21:10
respectively. Father’s present age is 17 years more than that of mother. If the present average age of mother, father, and son is 39 years, then find the ratio of present ages of mother and father respectively.Solution
ATQ, Let present ages of mother and son be ‘21x’ years and ‘10x’ years respectively. So, present age of father = (21x + 17) years So, 21x + 10x + 21x + 17 = 39 × 3 = 117 Or, 52x = 100 Or, x = 2 Present age of mother = 21 × 2 = 42 years Present age of father = 42 + 17 = 59 years Desired ratio = 42:59 = 6:7
Twenty five liters of 60% concentration of acid solution is added to 35 liters of 80% concentration of acid solution. What is the concentration of acid ...
- The cost of fencing a rectangular field at the rate of Rs. 13/metre is Rs. 1560. The ratio of the length to the breadth is 7:5. Find the area of the field.
A square’s side is 25% less than the length of a rectangle. The area and breadth of the rectangle are 2000 cm² and 40 cm respectively. Calculate the ...
Find the time taken by a pipe, which releases 400 m3 of water in a minute to fill an empty cylindrical tank of radius 20 m and height 14 m. [...
A cube has edge 13 m. Find its length of diagonal, surface area and volume.Â
The radius of a cylinder is equal to the radius of a circle whose circumference is 88 units. If the height of the cylinder is 50% more than its radius, ...
A rectangular plot of size 40 m (length) Â 20 m (width) is to be grazed by a horse leaving a margin of 5 m from all sides for growing plants and also it...
A room 20 m long, 16 m broad and 8m high has 2 windows of 1 m and `1(1)/(2)` m and a door of 2m `xx` `1(1)/(2)` m. Find the cost of paperi...
The total surface area of a right circular cone is twice the surface area of a sphere having the same radius. If the volume of the sphere is 2304π cm...
The circumference of a circle is 66 cm and the length of the rectangle is 4 times the radius of the circle. Find the area (in cm2) of the rec...