Advertisements
Advertisements
Question
If `(4m + 3n)/(4m - 3n) = 7/4`, use properties of proportion to find m : n
Solution
Given, `(4m + 3n)/(4m - 3n) = 7/4`
Applying componendo and dividendo,
`(4m + 3n + 4m - 3n)/(4m + 3n - 4m + 3n) = (7 + 4)/(7 - 4)`
`(8m)/(6n) = 11/3`
`m/n = 11/3 xx 6/8`
`m/n = 11/4`
APPEARS IN
RELATED QUESTIONS
If a/b = c/d prove that each of the given ratio is equal to `(13a - 8c)/(13b - 8d)`
Find the value of the unknown in the following proportion :
3 : 4 : : p : 12
Find the fourth proportion to the following:
3,5 and 15
If ( a+c) : b = 5 : 1 and (bc + cd) : bd = 5 : 1, then prove that a : b = c : d
24 workers can build a wall in 15 days. How many days will 9 workers take to build a similar wall?
If a, b, c, d are in proportion, then
If `a/c = c/d = c/f` prove that : `(a^2)/(b^2) + (c^2)/(d^2) + (e^2)/(f^2) = "ac"/"bd" + "ce"/"df" + "ae"/"df"`
If a, b, c and d are in proportion, prove that: `(a^2 + ab)/(c^2 + cd) = (b^2 - 2ab)/(d^2 - 2cd)`
If a, b, c, d are in continued proportion, prove that: `(a^3 + b^3 + c^3)/(b^3 + c^3 + d^3) = a/d`
If 2, 6, p, 54 and q are in continued proportion, find the values of p and q.