Answer:
x= 62
y= 54
Step-by-step explanation:
Step one:
given data
let the numbers be x and y and the larger be x the smaller be y
The difference between two numbers is 8
x-y= 8-----------1
If the larger is subtracted from three times the smaller, the difference is 100
3y-x=100------------2
from eqn 1, x= 8+y
put this in eqn 2
3y-(8+y)=100
3y-8-y=100
collect liker terms
3y-y-8=100
2y=108
y= 54
put y= 54 in eqn 1
x-y=8
x-54= 8
x= 8+54
x=62
Option 4 would be the correct answer
Answer:
First five terms are:
8 , (-4) , 2 , (-1) , (1/2)
Step-by-step explanation:
![a_{1}=8 \\\\r = \frac{-1}{2}\\\\a_{2}=\frac{-1}{2}*a_{1}= \frac{-1}{2}*8= -4\\\\a_{3}=\frac{-1}{2}*a_{2}=\frac{-1}{2}*-4=2\\\\a_{4}=\frac{-1}{2}*a_{3}=\frac{-1}{2}*2=-1\\\\a_{5}=\frac{-1}{2}*a_{4}=\frac{-1}{2}*-1=\frac{1}{2}](https://tex.z-dn.net/?f=a_%7B1%7D%3D8%20%5C%5C%5C%5Cr%20%3D%20%5Cfrac%7B-1%7D%7B2%7D%5C%5C%5C%5Ca_%7B2%7D%3D%5Cfrac%7B-1%7D%7B2%7D%2Aa_%7B1%7D%3D%20%5Cfrac%7B-1%7D%7B2%7D%2A8%3D%20-4%5C%5C%5C%5Ca_%7B3%7D%3D%5Cfrac%7B-1%7D%7B2%7D%2Aa_%7B2%7D%3D%5Cfrac%7B-1%7D%7B2%7D%2A-4%3D2%5C%5C%5C%5Ca_%7B4%7D%3D%5Cfrac%7B-1%7D%7B2%7D%2Aa_%7B3%7D%3D%5Cfrac%7B-1%7D%7B2%7D%2A2%3D-1%5C%5C%5C%5Ca_%7B5%7D%3D%5Cfrac%7B-1%7D%7B2%7D%2Aa_%7B4%7D%3D%5Cfrac%7B-1%7D%7B2%7D%2A-1%3D%5Cfrac%7B1%7D%7B2%7D)