Select the correct answerIf (๐๐โ๐๐)โถ(๐๐โ๐๐)=๐โถ๐ then a : b is equal to:Options3 : 45 : 85 : 72 : 3
Question
Select the correct answer
If (5a - 3b) : (4a - 2b) = 2 : 3 then a : b is equal to:
Options:
- 3 : 4
- 5 : 8
- 7 : 2
- 3 : 1
Solution
The given equation is (5a - 3b) : (4a - 2b) = 2 : 3.
We can simplify this equation by dividing both sides of the equation by 2. This gives us:
(5a - 3b) / (4a - 2b) = 2 / 3.
Cross multiplying gives us:
3*(5a - 3b) = 2*(4a - 2b).
Expanding both sides gives us:
15a - 9b = 8a - 4b.
Subtracting 8a from both sides gives us:
7a = 5b.
So, a : b = 5 : 7.
Therefore, none of the given options are correct.
Similar Questions
Select the correct answerIf a : b = 5 : 8 and c : b = 4 : 3, then a : b : c is equal to:Options5 : 6 : 815 : 24 : 2815 : 24 : 325 : 8 : 6
Select the correct answerIf (๐๐โ๐๐)โถ(๐๐โ๐๐)=๐โถ๐ then a : b is equal to:Options3 : 45 : 85 : 72 : 3
select one of the following four options that will make the second pair analogous to the first 65: 30:: 94 : ?
Match the following items given in Column A with those in Column B. Choose the correct answer from the options given below:
If x:y = 3:4 and y:z = 8:9, z:a is 15:16, find x:y:z:a (a) 30:40:45: 48 (b) 78:82:65:45 (c) 76:90:56:80 (d) None of these Options : a b c d
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