Which number should be added to each of the numbers 12, 16 and 21 so that the resulting numbers would be in continued proportion?
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9
Answer:
Let the number x be subtracted from 12, 16 and 21 so that resultant numbers are in continued proportion. ∴ (12 − x), (16 − x), (21 − x) are in continued proportion. Thus, the number −4 must be subtracted from 12, 16 and 21 so that resultant numbers are in continued proportion.
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Step-by-step explanation:
Let the number x be subtracted from 12, 16 and 12
so that resultant numbers are in continued proportion.
Therefore, (12-×), (16-×), (21-×) are in continued proportion.
Thus, the number -4 must be subtracted from 12, 16 and 21 .
So that resultant numbers are in continued proportion.
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