Question

which number should be subtracted from 12,16 and 21 . so that the resultant numbers are in continued proportion ?​

Answer 1

Answer:

Let x be the number that should be subtracted from 12, 16, 21 so that the numbers remain in continued proportion.

Numbers a, b, c are said to be continued proportion if b2 = ac.

∴ From the definition of continued proportion, we get:

⇒ (16 - x)2 = (12 - x)(21 - x)

⇒ 256 + x2 – 32x = 252 - 33x + x2

⇒-32x + 33x = 252 – 256

⇒ x= -4

∴ -4 should be subtracted from 12, 16, 21 so that the numbers remain in continued proportion.

Step-by-step explanation:

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