Question 1197025: 1.Each of the four children Dino, Sonny, Nikko, and Xian, holds a different object (fan, car, dart, and slime).
From the following clues, determine who owns which object.
a. Sonny is older than his friend who owns the car and younger than his friend who owns the dart.
b. Nikko and his friend who owns the slime both have the same age. They are the youngest members of
them.
c. Dino is older than his friend who owns the fan.
2. Nine teams register in a basketball league. Each team will compete with the other teams only once. How
many games will be played in the basketball league?
3.Vince is older than Raven and the sum of their ages is 57. When Vince’s age is divided by Raven’s age,
the quotient is 4 and the remainder is 2. How old is each?
Answer by ikleyn(52794)   (Show Source):
You can put this solution on YOUR website! .
N2 was solved in my previous post under this link
https://www.algebra.com/algebra/homework/Subset/Subset.faq.question.1197000.html
N3 is solved below.
From the condition, we have two equations
V + R = 57 (1) ("the sum of their ages is 57")
V = 4*R + 2 (2) ("When Vince’s age is divided by Raven’s age")
From equation (1), express R = 57 - V and substitute it into equation (1). You will get
V = 4*(57-V) + 2.
Simplify and find V
V = 4*57 - 4V + 2
V + 4V = 4*57 + 2
5V = 230
V = 230/5 = 46.
ANSWER. Vince is 46 years old. Raven is 57-46 = 11 years old.
Solved.
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