Question 60

If a : b = 2 : 3, then (5a - 2b) : (5a+ 2b) is equal to:

Solution

Given that,

$$ \dfrac{a}{b} =\dfrac{2}{3}=k$$

So, a=2k and b=3k

Now substituting the values,

$$\Rightarrow \dfrac{(5a - 2b)}{(5a+ 2b)}=\dfrac{5\times 2k -2\times 3k}{5\times 2k +2\times 3k}$$

$$\Rightarrow \dfrac{5\times 2k -2\times 3k}{5\times 2k +2\times 3k}=\dfrac{4k}{16k}=\dfrac{1}{4}$$

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