Let's begin by calling Sarah's age now as X. As Ralph is 3 times as old as Sarah, X times 3 = 3X. Hence, Ralph's age is 3X. In six years, Ralph will be twice as old as Sarah. To calculate six years from now, add 6 to X for Sarah, and 6 to 3X for Ralph. As Ralph is twice as old as Sarah and we want to find the difference between the ages to calculate X, multiply X+6 by 2. You'll get 2X+12. Therefore, 2X+12=3X+6. Deduct 6 from 3X+6 as we want to isolate the variable. Because you did that to one side, you have to deduct 6 from 2X+12. Hence, now you have 2X+6=3X. X=6. Ralph's age is 3X, so 6 times 3 is 18. Ralph is 18 years old.
Complete Question
Calculating conditional probability
The usher at a wedding asked each of the 80 guests whether they were a friend of the bride or of the groom.
Here are the results:
Bride
:29
Groom
:30
BOTH : 20
Given that a randomly selected guest is a friend of the groom, find the probability they are a friend of the bride.
P (bride | groom)
Answer:
The probability is 
Step-by-step explanation:
The sample size is 
The friend of the groom are 
The friend of the groom are 
The friend of both bride and groom are
The probability that a guest is a friend of the bride is mathematically represented as

The probability that a guest is a friend of the groom is mathematically represented as

The probability that a guest is both a friend of the bride and a friend of the groom is mathematically represented as

Now
is mathematically represented as

Substituting values


20 is not a perfect square.
36 = 6 times 6.
49 = 7 times 7.
68 is not a perfect square.
121 = 11 times 11.
400 = 20 times 20.
Hope this helps
Answer:
The answer is B
Step-by-step explanation:
I just did the Quick Check, the attachment is the answer, np.
Answer:
still need help?
Step-by-step explanation: