Two numbers are in the ratio 1:2. If 7 is added to each number, the ratio becomes to 3:5. The bigger number is :

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Solution

The correct option is C
28

Let the numbers be $x$ and $2 x$ .

Then, $\frac{x + 7}{2 x + 7} = \frac{3}{5}$ .

$\Rightarrow 5 (x + 7) = 3 (2 x + 7)$ .

$\Rightarrow 5 x + 35 = 6 x + 21 \Rightarrow x = 14$

$∴$ Greatest number = $28$ .

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