Three numbers x, y, and z are in the ratio 1: 2: 8. if 40 is subtracted from z, then the three numbers form a geometric sequence (in the order x, y, z – 40). find x, y, and z.

X=10, Y=20,Z=80

Step-by-step explanation:

We are given that the numbers X,Y and Z are in the ratio 1:2:8

Let the numbers be:

X=x

Y=2x

Z=8x

Now we are given that 40 is subtracted from Z such that the numbers X,Y,Z-40 form a geometric sequence.

that means x,2x,8x-40 forms a geometric sequence.

Also if a,b,c are in geometric progression then they have same common ratio.

i.e.  

Hence, the number X =10

Y=2×10=20

Z=8×10=80