The sum of three numbers is 6 . Thrice the third number when added to the first number given 7 . On adding three time first number to the sum of second and third number we get 12 . The product of these numbers is

Step-by-step solution

Let the numbers be x, y, z aligned & x+y+z=6 ..(1) & x+3 z==7 ..(2) & 3 x+y+z=12..(3) & Eq. (3)-(1), gives & 2 x=6 x=3 aligned 2 x =6 x =3 From eq. (2), we get 3+3 z+7 z= 4 3 From eq. (1), we get aligned & 3+y+ 4 3 =6 y= 5 3 & x y z=(3) ( 5 3 ) ( 4 3 )= 20 3 aligned