Question 891589
let x = the smaller part
This means 56-x is the smaller
(3/8)(56-x) - (1/4)(x) = 6
multiply each side by 8 to get rid of the fractions
 3(56-x) - 2(x) = 48
 168 - 3x - 2x = 48
 168 - 5x = 48
add -168 to each side
 -5x = 48 -168
 -5x = -120
divide each side by -5
 x = 24
(56 -x ) = 56 - 24 = 32
So the larger is 32 and the smaller is 24
Plugging into our equation,
(3/8)(56-24) -(1/4)(24) ?= 6
(3/8)(32) - 6 ?= 6
 12 - 6 ?= 6 , clearly yes