math

posted by .

1. The sum of the ages of Ed and his father is 59 years. If his father's age is 11 years less than four times Ed's age, how old is Ed?

2. Five less than seven times a certain number is 58.Find the number.

3. The sum of 1/2 a certain number and 1/3 of the same number is 30. Find the number.

  • math -

    #1.
    First, we represent the unknown using variables.
    Let x = Ed's age
    Let 59 - x = father's age (since according to the first statement, the sum of their ages is 59)
    Then we setup the equation. According to the second statement,
    Father's age = 4*(Ed's age) - 11
    In variables,
    59 - x = 4x - 11
    59 + 11 = 4x + x
    70 = 5x
    (5x)/5 = (70)/5
    x = 14 years old [Ed's age]

    #2.
    Represent the unknown with a variable.
    Let x = number
    Then setup the equation using the given conditions.
    7x - 5 = 58
    Solving for x,
    7x = 58 + 5
    7x = 63
    x = 9

    #3.
    Represent the unknown with a variable.
    Let x = number
    Setup the equation:
    (1/2)x + (1/3)x = 30
    Solve for x. (Recall how to add fractions too)
    (3/6)x + (2/6)x = 30
    [(5/6)x]*(6/5) = 30*6/5
    x = 36

    Hope this helps~ :)

  • math -

    4. The perimeter of a tgriangle is 44 inches. If one side is 5 inches longer than the smallest side and the largest side is 1 inch less than twice the smallest side, how many inches are there in the smallest side?

  • math -

    #4.
    Represent the unknowns with a variable.

    Let x = smallest side
    Let x + 5 = larger side (according to the 2nd statement)
    Let 2x - 1 = largest side (according to the 2nd statement)
    Then setup the equation. Recall that the perimeter of a triangle is just the sum of the lengths of its sides:
    x + x + 5 + 2x - 1 = 44

    Now solve for x. Units in inches.

    Hope this helps~ :)

  • math -

    thank you for help

  • math -

    I have two more question, I hope you can help me.

    1. A hotel has 120 rooms. If the number of double room is 8 more than three times the number of single rooms, how many single rooms does the hotel have?

    2. A mechanic earns $5 more per hour than his helper. On a six-hour job the two men earn a total of $114. how much does each earn per hour?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. MATH

    1. A father is three times as old as his son. Five years ago the sum of their ages was 30. How old is the father now?
  2. algebra

    a boy is b years old and his father is 6 times as old as him. find the father's age. and also the sum of their ages in years time?
  3. maths

    A man's age is 4 times the combined age of a two sons. One of whom is 3 times as old as the other. In 24 years their combined ages will be 12 year less than their father's age . Find their respective age ?
  4. math

    A. A woman was 30 years old when her daughter was born.Her age is now 6 years more than three times her daughter's age. How old will the daughter be in 5 years?
  5. math

    1. Lisa is 15 years old and her father is 40. How many years ago was the father six times as old as Lisa?
  6. general math

    A father's age is three times the age of his childs. After five years of age, father's age childs would double the sum, the father's age - please help me for this question here is not given number of child.
  7. algebra

    The combined age of a father and his two sons is 50 years. Four years ago the father was eight times as old as his older son. Four years from now he will be 4 times as old as his younger son. Find the age of each at present. I found …
  8. problems on age

    1. The sum of ages of father and son is 64 years. Father says to son, “I am 5 times as old as you were when I was of your age.” What is the sum of digits of son’s age?
  9. Math

    The sum of the ages of a father and a his son is 72 years. After 2 years, father will be 4 years less than 3 times the age of his son. Find their present ages.
  10. Math

    Five years ago, a father was 3 times as old as his son. Now, their combined ages amount to 110 years. Thus, the present age of the father is?

More Similar Questions