Q. Two numbers are in the ratio 1:2, if 7 is added to both, their ratio changes to 3:5. The greatest number is:

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Solution

The correct option is C 28
The numbers be 1x, 2x
Then
$1 x + 7 = 3 y \to (1) 2 x + 7 = 5 y \to (2) 2 \times (1) - 1 \times (2) 14 - 7 = 6 y - 5 y - y = 7 x = 21 - 7 = 14 Gretest number is 14 \times 2 = 28$

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