Posted by **gary** on Monday, July 8, 2013 at 11:15pm.

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 -
**Jai**, Monday, July 8, 2013 at 11:25pm
#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 -
**gary**, Monday, July 8, 2013 at 11:26pm
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 -
**Jai**, Monday, July 8, 2013 at 11:32pm
#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 -
**gary**, Monday, July 8, 2013 at 11:37pm
thank you for help

- math -
**gary**, Tuesday, July 9, 2013 at 12:01am
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?

## Answer this Question

## Related Questions

- math - A. A woman was 30 years old when her daughter was born.Her age is now 6 ...
- math - 1. Lisa is 15 years old and her father is 40. How many years ago was the ...
- algebra - The combined age of a father and his two sons is 50 years. Four years ...
- general math - A father's age is three times the age of his childs. After five ...
- maths - A man's age is 4 times the combined age of a two sons. One of whom is 3 ...
- algebra - a boy is b years old and his father is 6 times as old as him. find the...
- Math - Sheila's age is two years more than twice Nicole's age. The sum of their ...
- MATH - 1. A father is three times as old as his son. Five years ago the sum of ...
- math - A. Lisa is 15 years old and her father is 40. How many years ago was the ...
- Math - A father's age is 3 times his son's age. Sum of their ages is 44 years. ...

More Related Questions