Advertisements
Advertisements
Question
If `a/b = c/d = e/f`, Prove that each of these ratios is equal to `(a + c + e)/(b + d + f)`.
Advertisements
Solution
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.
RELATED QUESTIONS
If (a – b) : (a + b) = 1 : 11, find the ratio (5a + 4b + 15) : (5a – 4b + 3).
If A : B = 2 : 5 and A : C = 3 : 4, find: A : B : C.
The ratio of the pocket money saved by a boy and his sister is 5:4. If the brother saves Rs 100 more, how much more should the sister save in order to keep the ratio of their savings unchanged ?
Express the following ratios in its simplest form :
1 hour: 45 minutes
If a: b with a ≠ b is the duplicate ratio of a + c: b + c, show that c2 = ab.
A sum of Rs. 10, 500 is divided among A, B and C in the ratio 5 : 6 : 4. Find the share of each.
Find the ratio of the first quantity to the second.
750 grams, `1/2` kg
There are ‘b’ boys and ‘g’ girls in a class. The ratio of the number of boys to the total number of students in the class is ______.
The ratio of 1 hour to one day is 1 : 1.
Saturn and Jupiter take 9 hours 56 minutes and 10 hours 40 minutes, respectively for one spin on their axes. The ratio of the time taken by Saturn and Jupiter in lowest form is ______.
