Three friends

Peter is eight times older than Rado, Rado is 3 times younger than Joseph. Together they have 120 years. Determine how many are each of them.

Correct result:

P =  80
R =  10
J =  30

Solution:

P=8•R
R = J/3
P+R+J= 120

P-8R = 0
J-3R = 0
J+P+R = 120

J = 30
P = 80
R = 10

Our linear equations calculator calculates it.

Try another example

Showing 0 comments:

Related math problems and questions:

• Three siblings
  Three siblings have birthday in one day-today. Together they have 35 years today. The youngest is three years younger than middle and the oldest is 5 years older than middle. How old is each?
• Grandfather and grandmother
  The old mother is 5 years younger than the old father. Together they are 153 years old. How many years has each of them?
• Three brothers
  The three brothers have a total of 42 years. Jan is five years younger than Peter and Peter is 2 years younger than Michael. How many years has each of them?
• Mother and daughter
  The mother is four times older than her daughter. Five years ago, her daughter was seven times younger than her mother. How many years do they have now?
• Family
  Family has 4 children. Ondra is 3 years older than Matthew and Karlos 5 years older than the youngest Jane. We know that they are together 30 years and 3 years ago they were together 19 years. Determine how old the children are.
• Mother and daughter
  Three years ago mother was three times older than daughter. After nine years she will be only twice old. How old is mother (and daughter)?
• Grandfather
  The grandfather is three years older than an grandmother. The average age of the grandmother, the grandfather and their seven grandchildren is 28 years. The grandchildren have a total of 105 years. Calculate how old is grandfather.
• Euros
  Peter, Jane and Thomas have together € 550. Tomas has 20 euros more than Jane, Peter € 150 less than Thomas. Determine how much has each of them.
• Peter and Paul
  Peter and Paul together have 26 years. Four years ago, Paul was twice older than Peter. How much is Paul and how much Peter?
• The family
  How old is a mother if she is four times older than her daughter and 5 years ago she was even seven times older than her daughter? Today, a son is 30 years younger than a father. 7 years ago, a father was seven times older than a son. How old is a son tod
• Three men
  Alex is half younger than Jan, which is one-third younger than George. The sum of their ages is 48. How are these three men old?
• Friends
  James and Jaroslav are friends. Together they had 48 toy cars. But if John took 8 cars from Jaroslav, Jaroslav will be have 1.5 times more toy cars than James. How many toy cars had Jaroslav and James?
• Two sisters
  Two sisters together have 54 CDs. 6/8 CDs has younger sister and is equal to 3/5 of CDs older sisters. How many CDs has each of the sisters?
• Pair
  They have together 39 years - he has 2 times as she was when he was equal as she has today ....
• Grandson and granddad
  Grandson with grandpa they counted how many years have together. Their product is 365. How many years is the sum of their years.
• Age question
  Jano is three times older than Zdeno. Zdeno is 12 years younger than Janko. How old is Jano and how old is Zdeno?
• Three workers
  Three workers were rewarded CZK 9200 and the money divided by the work they have done. First worker to get twice than the second, the second three times more than the third. How much money each worker received?