Math

the ratio of father's age to his son age is 8:3. in 5 year's time the sum of their ages will be 54. how old are they

  1. 👍
  2. 👎
  3. 👁
  1. let their ages be 8x and 3x

    in 5 years:
    father's age = 8x+5
    son's age is 3x+5

    8x+5 + 3x+5 = 54

    solve for x, plug into my definitions

    1. 👍
    2. 👎
  2. 8xplus 5 plus 3x plus 5 is equal to 54
    11x plus 10 is equal to 54
    11x is equal to 54-10
    11x is equal to 44
    Divide by 11 both side
    X is equal to 4

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    if x represents the present age of father and y represents the present age of son,then what will be the equation of the statement "present age of father is 5 times more than 6 times the age of son"

  2. arithmetic mean

    the average age of 5 children is 8 years. if the age of the father is included , the average increased by 7 years. find the age of the father.

  3. Maths ( Higher Level) Simultaneous Equations.

    A mother is x years old, her son is y years old and the sum of theirs ages together is 58 years. Five years ago, the mother was five times as old as the son. Write two equations in x and y and solve them to find the age of their

  4. Math

    At present, the sum of the ages of a father and his son is 33 years. Determine the smallest number of years until the father's age is 4 times the son's age.

  1. Algebra

    If the father's age in 3 years will be twice the son's age 4 years ago, and if the sum of their ages now is 106, how old is the father now?

  2. algebra

    the sum of the age of a girl and her brother is 26 year 3 years ago her age was 4 time the age of her brother. find their present age?

  3. Math

    In a recent year there were the following numbers (in thousands) of licensed drivers in the United States. MALE: Age 19 and under - 4746 Age 20 - 1625 Age 21 - 1679 FEMALE: Age 19 and under - 4517 Age 20 - 1553 Age 21 - 1627

  4. math

    This year, the sum of Mr. Bellini's age and his son's age is 38 years. 4 years ago, Mr. Bellini was 5 times as old as his son. How old is his son this year? How old is Mr. Bellini this year?

  1. Maths

    A father is 4 times as old as his son. 5 years ago the sum of their age was 70. Find their present age.

  2. maths

    Age of Rahul's father is 3 times Rahul's age now.After 15 years he will be twice the age of Rahul. Find their present age.

  3. Algebra

    4 years ago my father's age was 4 times that of my age. At present the sum of my father's age and that of mine is 53 years . What is father's present age.

  4. Math

    The average age of man and his son is 28 years the ratio of their ages 3 : 1 respectively what is the man's age

You can view more similar questions or ask a new question.