Question
Eight years ago, the sum of the ages of Helen and Karen
was 50 years. Eight years hence, the ratio of their ages will be 9:11. Find the current age of Helen.Solution
ATQ, Let the ages of Helen and Karen in eight years be 9x and 11x respectively. Their combined age eight years hence = 9x+11x=20x. Eight years ago, their combined ages were 50. Thus, their combined ages today = 50+16=66. 20x=66+16=82. Solving for x, 20x = 82 = x = 82/20 = 4.1 Age of Helen eight years hence = 9x = 9×4.1 = 36.9 years. Current age of Helen = 36.9 − 8 = 28.9 years.
In a department 30% of the employees are females. 40% of the male employees know English. The total number of employees who know English is 46%. Find th...
A rectangular piece of copper foil of length 56 cm and area 616 cm2 is folded along its width to form a cylinder such that there is only one ...
A tank whose length, width and height are 23 metres, 20 metres and 12 metres respectively is completely filled with juice. If the juice costs Rs.5/m
Perimeter of a square and circumference of a circle are in the ratio 7:11, respectively. If area of the square is 49 cm2, then find the radiu...
In an exam of 100 marks, the average marks of a class of 38 students are 72. If the top 3 scorers of the class leave, the average score falls “dow...
Calculate the curved surface area of a cone with a diameter of 42 cm, and a height that is 1 cm shorter than half its diameter.
The perimeter of an equilateral triangle is 72√3 cm. Find its height.
The perimeter of a rectangle is 130% more than perimeter of a square of side 10 cm. If the length of rectangle is 250% more than side of square then fin...
A path of width 3 m is made outside and around a rectangular field of perimeter 210 m. If the length of the field is 50% more than its breadth, then f...
Find the approximate volume of a right circular cone having diameter 14 cm and height 3cm.(Take pie = 3.14.)
Relevant for Exams:
