How to solve the ternary linear equation, X: y = 3:2, Y: z = 5:4, x + y + Z = 66

How to solve the ternary linear equation, X: y = 3:2, Y: z = 5:4, x + y + Z = 66


x:y=3:2 x=3y/2 y:z=5:4 z=4y/5 x+y+z=66 3y/2+y+4y/5=66 1.5y+y+0.8y=66 3.3y=66 y=20 x=3y/2=30 z=4y/5=16