Question

6.
What least number should be subtracted from 11, 27, 35 and 99 in order to get four
numbers in proportion ?​

Answer 1

Answer:

7

Step-by-step explanation:

11-7=4

27-7=20

35-7=28

99-7=90

By this 4 divide by all numbers

Answer 2

Answer:

3

Step-by-step explanation:

Let say X to be subtracted from  11, 27, 35 and 99 in order to get four

numbers in proportion

Then Four numbers would be

11 - X   , 27 - X  , 35 - X  , 99 - X

11-X :  27 - X  :: 35-X : 99-X

=> (11-X)/(27-X)  = (35-X)/(99 - X)

=> (11 - X)(99-X)  = (27 - X)(35 - X)

=> X² - 110X + 11*99 = X² - 62X + 27*35

=> 48X = 99*11 - 27*35

=> 48X = 1089 - 945

=> 48X = 144

=> X = 3

3 to be subtracted from 11, 27, 35 and 99 in order to get four numbers in proportion

8 : 24 :: 32 : 96