Question

The numbers x, y, z are respectively proportional to 2, 3, 5 and the sum of x, y and z is 80. If the number z is given by the equation z = ax8,



then a is

Answer 1

Answer:

5/16 = a

Step-by-step explanation:

x:y:z s.t. 2:3:5 (given)

sum of x,y,z is 80 (given)

therefore 2k+3k+5k=80 ( k be any integer)

10k=80

k=80/10

k=8

so x = 2k = 2×8 = 16

y = 3k = 3×8 = 24

z = 5k = 5×8 = 40

For

z = ax8

putting values of z and x

40 = a × 16 × 8

40 = 128a

40/128 = a

5/16 = a