Question
The ratio of the present ages of father and his son is
8:3. The product of their ages 3 years ago was 29 times of his son’s age that year. What was son’s age 2 year ago?Solution
Let present age of father and son be 8x and 3x respectively. According to question,  => (8x – 3) (3x – 3) = 29 × (3x – 3)  => (8x – 3) = 29 => 8x = 32 => x = 4 Therefore, son’s age 2 years ago = (3x – 2) = 10 years
Find the difference between angle and its complement if the angle is three-seventh of its complement.
A triangular field has sides 13 m, 14 m, and 15 m. A well with a diameter of 7 m is dug outside the field. If the entire soil dug from the well is used ...
If O is circumcentre of acute angled triangle ABC, if ∠ OBC = 150 then ∠BAC = ?
Find the area of triangle having sides in the ratio 3:5:7 & the perimeter of the triangle is 60 cm
If I is the incentre of ΔABC , if ∠BAC = 300 , then what is the measure of ∠BIC?
At the centre of a circle of 20 cm radius, the angle made by an arc of 24(4/9) cm length is
Orthocenter of an right angle triangle lies on
Angles of a triangle are in the ratio 3 : 5 : 10. Find the sum of the smallest and middle angle of the triangle.
The diagonals of a rectangle are inclined to one side of the rectangle at 25°. The acute angle formed between the diagonals is: