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Select the correct answerIf a:b=2:3 then (5a-2b): (5a+2b) is equal to:Options2 : 73 : 71 : 31 : 4

Question

Select the correct answerIf a:b=2:3 then (5a-2b): (5a+2b) is equal to:Options2 : 73 : 71 : 31 : 4

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Solution

Given that a:b = 2:3, we can assume a = 2k and b = 3k for some constant k.

Now, we need to find the ratio (5a - 2b) : (5a + 2b).

Substitute a and b with 2k and 3k respectively.

(5a - 2b) : (5a + 2b) = (52k - 23k) : (52k + 23k) = (10k - 6k) : (10k + 6k) = 4k : 16k = 1 : 4

So, the correct answer is 1 : 4.

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