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Question

What number must be added to each term to the ratio 9 : 16 to make the ratio 2 : 3?

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Solution

Let x be the required number.
Then, (9 + x) : (16 + x) = 2 : 3

9+x16+x = 2327 + 3x = 32 + 2x x =5

Hence, 5 must be added to each term of the ratio 9 : 16 to make it 2 : 3.

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