Question

what number must be subtracted from each of the numbers 27,38,7,8,so that the diffrences are in proportion
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Answer 1

Answer:

Let the number subtracted be x.

Then 27-x, 38-x, 7-x, 8-x.

27-x : 38-x : : 7-x : 8-x .

B.T.Q'

Product of extreme = Product of mean

27-x * 8-x = 38-x * 7-x

27(8-x) -x(8-x) = 38(7-x) -x(7-x)

216-27x -8x + x2 = 266-38x -7x+x2

-27x -8x +38x +7x +x2 -x2 = 266-216

-35x + 45x = 50

10x = 50

x = 50/10

  = 5 Ans

Step-by-step explanation: