Alice and Bob each have a certain amount of money. If Alice receives n dollars from Bob, then she will have 4 times as much money as Bob. If, on the other hand, she gives n dollars to Bob, then she will have 3 times as much money as Bob. If neither gives the other any money, what is the ratio of the amount of money Alice has to the amount Bob has?

Step-by-step explanation:

Let the A be the amount Alice initially has and B be Bob's initial amount.

#Alice receives $n from Bob:

#Alice gives n to Bob:

#We simultaneously solve the two expressions:

The initial amounts of Alice is -8n and Bob's is -27n

#We find the ratio of Alice:Bob:-

Hence the ration of Alice to Bob is 8:27

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,