Question 882917
Let x be the first part and y be the second part, then
.8x = .6y + 3
.8y = .9x + 6
Solve for y in second equation
y = .9x/.8 + 6/.8
y = 1.125x + 7.5
Substitute for y in first equation
.8x = .6*(1.125x +7.5) + 3
.8x = 0.675x +7.5
0.125x = 7.5
x = 60
Now use first equation to determine y
48 = .6y +3
.6y = 45
y = 75
First part is 60 and second part is 75
Check answers
.8(60) = .6(75) + 3
48 =  45 + 3
48 = 48
.8(75) = .9(60) + 6
60 = 54 + 6
60 = 60
Answers check
The number is 60 + 75 = 135