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What number has to be added to the terms 3 : 5 to make the ratio 5 : 6 ?
Answer & Solution
Correct Answer:
Option
B
Let the number to be added be x
Then,
$$\eqalign{ & = \frac{{3 + x}}{{5 + x}} = \frac{5}{6} \cr & \Rightarrow 6\left( {3 + x} \right) = 5\left( {5 + x} \right) \cr & \Rightarrow 18 + 6x = 25 + 5x \cr & \Rightarrow x = 7 \cr} $$
Then,
$$\eqalign{ & = \frac{{3 + x}}{{5 + x}} = \frac{5}{6} \cr & \Rightarrow 6\left( {3 + x} \right) = 5\left( {5 + x} \right) \cr & \Rightarrow 18 + 6x = 25 + 5x \cr & \Rightarrow x = 7 \cr} $$
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