Advertisements
Advertisements
प्रश्न
If `a/b = c/d = e/f`, Prove that each of these ratios is equal to `(a + c + e)/(b + d + f)`.
उत्तर
Let `a/b = c/d = e/f` = k then a = bk, c = dk and e = fk.
Now `(a + c + e)/(b + d +f) = (bk + dk + fk)/(b + d + f)`
= `(k(b + d + f))/((b + d + f)` = k
Hence, `a/b = c/d = e/f = (a + c + e)/(b + d + f)`.
Hence proved.
APPEARS IN
संबंधित प्रश्न
If (p – x) : (q – x) be the duplicate ratio of p : q then show that : `1/p + 1/q = 1/x`.
If `a/b = c/d`, show that: `(a + b) : (c + d) = sqrt(a^2 + b^2) : sqrt(c^2 + d^2)`
If (3x - 9) : (5x + 4) is the triplicate ratio of 3 : 4, find the value of x.
If `(3x + 5y)/(3x - 5y) = (7)/(3)` , Find x : y
I have a box which has 3 green, 9 blue, 4 yellow, 8 orange coloured cubes in it.
(a) What is the ratio of orange to yellow cubes?
(b) What is the ratio of green to blue cubes?
(c) How many different ratios can be formed, when you compare each colour to anyone of the other colours?
The number of milk teeth in human beings is 20 and the number of permanent teeth is 32. Find the ratio of the number of milk teeth to the number of permanent teeth.
Of the 288 persons working in a company, 112 are men and the remaining are women. Find the ratio of the number of men to the total number of persons.
In the given figure, the comparative areas of the continents are given: What is the ratio of the areas of
(a) Africa to Europe
(b) Australia to Asia
(c) Antarctica to Combined area of North America and South America.
In figure, what is the ratio of the areas of
(a) shaded portion I to shaded portion II?
(b) shaded portion II to shaded portion III?
(c) shaded portions I and II taken together and shaded portion III?
In a year, Seema earns ₹ 1,50,000 and saves ₹ 50,000. Find the ratio of money that she saves to the money she spends.
