# Which number shou

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.

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