Question 718957
let the numbers be x ,y,z

x/y = 2/3

x= 2y/3.....................(1)

y/z = 5/8

y= 5z/8>...................(2)

plug y in (1)

x= 2(5z/8) /3

x= 10z/24

x+y+z=245

10z/24 +5z/8+z=245

multiply equation by 24

10z+15z+24z= 245*24

49z=245*24

z= 245*24/49

z=5*24
z=120

y/z= 5/8

y/120=5/8
y=120*5/8

y=15*5
y=75

x/y = 2/3
x/75=2/3
x=75*2/3
x=50

CHECK

x/y = 50/75=2/3

y/z=75/120 = 5/8

50,75,120



you are right