Advertisements
Advertisements
Question
If a : b = c : d; then show that (ax+ by) : b = (cx+ dy) : d
Advertisements
Solution
`"a"/"b" = "c"/"d" => "ax"/"b" = "cx"/"d"`
Adding y to both sides
`=> "ax"/"b" + "y" = "cx"/"d" + "y"`
`=> ("ax + by")/"b" = ("cx + dy")/"d"`
⇒ (ax + by) : b = (ex + dy) : d
Proved.
APPEARS IN
RELATED QUESTIONS
Find the fourth proportional to 1.5, 4.5 and 3.5
What least number must be subtracted from each of the numbers 7, 17 and 47 so that the remainders are in continued proportion?
Which number should be subtracted from 12, 16 and 21 so that resultant numbers are in continued proportion?
If `(28 - x)` is the mean proportional of `(23 - x)`and `(19 - x)` then find the value of x.
Find the value of the unknown in the following proportion :
5 : 12 :: 15 : x
Find the value of the unknown in the following proportion :
`1/2 : "m" :: 14/9 : 4/3`
If `x/a = y/b = z/c`, prove that `x^3/a^2 + y^2/b^2 + z^3/c^2 = ((x + y + z)^3)/((a + b ++ c)^2)`.
Verify the following:
60 : 105 : : 84 : 147
Verify the following:
91 : 104 : : 119 : 136
3 : 5 : : `square` : 20
