lwhat number Should be added t eachthe numbeys 12,23 and 1 so thatthe

1.	lwhat number Should be added t eachthe numbeys 12,23 and 1 so thatthe vesul ting number may be. in propationn propotion
Answer» Let x should be added. so,first number= 12 +x. second number =22 + x. third number = 42 + x. forth number = 72 + x. so to be proportional of these numbers would be in this way. ( 12 + x ): ( 22 + x ) :: ( 42 + x ) : ( 72 + x ) now,product of extremes = product of mean. ( 12 + x ) (72 + x ) = ( 42 + x ) ( 22 + x ) 12×72 + 12x + 72x + x ^2 = 42×22 + 42x + 22x + x ^2 =864 + 84x + x ^2 =924 + 64x + x ^2=84x - 64x + x ^2- x ^2 = 924−864 = 20 x =60x = 60/20 x = 3

lwhat number Should be added t eachthe numbeys 12,23 and 1 so thatthe vesul ting number may be. in propationn propotion

Answer»

Let x should be added.

so,first number= 12 +x.

second number =22 + x.

third number = 42 + x.

forth number = 72 + x.

so to be proportional of these numbers would be in this way.

( 12 + x ): ( 22 + x ) :: ( 42 + x ) : ( 72 + x )

now,product of extremes = product of mean.

( 12 + x ) (72 + x ) = ( 42 + x ) ( 22 + x )

12×72 + 12x + 72x + x ^2 = 42×22 + 42x + 22x + x ^2

=864 + 84x + x ^2 =924 + 64x + x ^2=84x - 64x + x ^2- x ^2 = 924−864

= 20 x =60x = 60/20

x = 3