Question

What is tje least number be subtract from each of yhe number 12,17,22,32so that the reminder may be in proportion?

Answer 1

Answer:

2 should be subtracted from  each of the number 12, 22,42 and 72 so that that resulting number may be in proportion.

Step-by-step explanation:

Let

x should be subtracted.

First number= 12 - x

Second number =17 - x

Third number = 22 - x

Forth number = 32  -x

( 12 - x ) : ( 17 - x )  ::  ( 22 - x ) : ( 32 - x )

Product of extremes = Product of means.

( 12 - x ) (32 - x ) = ( 22 - x ) ( 17 - x )

(12×32) - 12x - 32x + x ^2 = ( 22×17 ) - 22x - 17x + x ^2

384 - 44x + x ^2 =374 - 39x + x ^2

-44x + 39x + x ^2 - x ^2 = 374 − 384

5 x = -10

x = -10 / 5

x = -2

2 should be subtracted from  each of the number 12, 22,42 and 72 so that that resulting number may be in proportion.