Question

what number must be subtracted from each of the number 21,30, 19,27 so that the result
number is proportion​

Answer 1

Answer:

3

Step-by-step explanation:

If a, b, c and d are in proportion, i.e. a:b=c:d

Then a × d = b × c

Let the number to be subtracted be x.

So, by given conditions:

$(21 - x)(27 - x) = (30 - x)(19 - x) \\ {x}^{2} - 48x + 567 = {x}^{2} - 49x + 570 \\ 567 - 48x = 570 - 49x \\ 49x - 48x = 570 - 567 \\ x = 3$

Hence, 3 must be subtracted from all numbers so that the resultants are in proportion.

Answer 2

Step-by-step explanation:

very hard

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