Question

What numbers must be subtracted from each of the
numbers 21, 30, 19, 27 so that the resulting numbers
are in proportion?​

Answer 1

Answer:

When we subtract 3 from each of the numbers 21, 30, 19 and 27 resulting numbers are : 18, 27, 16, 24. They are in same proportion.

18 : 27 = 16 : 24

2 : 3 = 2 : 3

Step-by-step explanation:

$21 - x : 30 - x : : 19 - x : 27 - x \\ 21 - x : 30 - x = 19 - x : 27 - x \\ \frac{21 - x}{30 - x} = \frac{19 - x}{27 - x} \\ (21 - x)(27 - x) = (19 - x)(30 - x) \\ 567 - 21x - 27x + {x}^{2} = 570 - 19x - 30x + {x}^{2} \\ 567 - 48x + {x}^{2} = 570 - 49x + {x}^{2} \\ - 48x + 49x = 570 - 567 + \cancel{{x}^{2}} \cancel{- {x}^{2}} \\ \large{ \boxed{x = \: \underline{ \underline{3}}}} \\ \\ 21 - x : 30 - x : : 19 - x : 27 - x \\ 21 - 3 : 30 - 3 : : 19 - 3 : 27 - 3 \\ 18 : 27 : : 16 : 24 \\ \\ \large{18 : 27 = 16 : 24}$

Answer 2

3will be the ans

Step-by-step explanation:

21-x:30-x:: 19-x 27-x

21-x:27- x:: 30-x 19-x

567 - 21x - 27x +x² = 570 -30x -19x+x²

567 -48x =570 -49x

48x -49x =570 -567

x =3

so: 3 is subtracted from 21,30,19,27