x should be subtracted from 12,16 and 21 so that the numbers are in proportion? Then x=

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-4

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Solution

The correct option is B -4
Let we subtract $x$ from three of the numbers
then number becomes $12 - x, 16 - x, 21 - x$

Since Now they are in proportion,
$(16 - x) (16 - x) = (21 - x) (12 - x) ⟹ 256 - 16 x - 16 x + x^{2} = 252 - 21 x - 12 x + x^{2} ⟹ - 32 x + 33 x = 252 - 256 ⟹ x = - 4$

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