Question
Ratio of two numbers 8:15 and their LCM is 2400. Find
the sum of the given two numbers.Solution
Let the two numbers be '8h' and '15h', where 'h' is the HCF of the two given numbers. Product of two numbers = (Product of LCM and HCF) of the given two numbers 8h × 15h = h × 2400 Or, 120h = 2400 So, 'h' = (2400 / 120) = 20 Therefore, the required sum = 8h + 15h = 23h = 23 × 20 = 460 Hence, option c
- A triangle has a base of 22 cm and the corresponding height is 9.5 cm. Calculate its area.
The vertices of a triangle are given as (5, 4), (9, 6), and (1, 5). Determine the area enclosed by this triangle.
- A triangle has a base of 27.3 cm and the height is 11.4 cm. Find its area.
In triangle ABC, DE is drawn parallel to BC, intersecting AB at D and AC at E. If AD : DB = 2 : 1 and area of triangle ADE is 24 cm², find:
(i) ...
- In triangle ABC, a line DE is drawn parallel to side BC. If AD = 6 cm, DB = 4 cm, and AE = 9 cm, determine the length of AC.
- In triangle XYZ, lines XP and PF are medians of triangle XYZ and triangle XZF respectively. If the area of triangle XPF is 15 cm², calculate the area of t...
The parallel sides of a trapezium and its height are in an arithmetic progression with a common difference of 4. If the height is the highest term and t...
Find the area of a triangle whose sides are 12 m, 14 m, and 16 m.
In a right-angled triangle, the hypotenuse is 20 cm, and one of the legs is 12 cm. Find the area of the triangle.
The area of two similar triangles is 361 cm² and 324 cm², respectively. What is the ratio of their corresponding altitudes?
