Redeemed3:16 said:

I do not know where to begin to sovle this problem. I am homeschooled...

If your current curriculum is leaving you entirely lost, then you might want to consider switching to something that is of higher quality. I'm afraid we simply aren't able here to replace the missing hours of instruction that you need. Sorry!

Redeemed3:16 said:

I am having difficulty in translating the words into numbers and variables to solve the problem.

To learn how to "translate" word problems, please study a few of the many great lessons available online:

. . . . .**Google results for "translate word problems"**
Redeemed3:16 said:

One number is five more than another and their sum is three less than three times the smaller. Find the numbers.

First, learn how the topic works:

. . . . .**Google results for "number word problems"**
Then follow the usual process:

. . . . .i) Pick a variable for "another number", since "one number" is defined

. . . . . . .in terms of "another number".

. . . . .ii) Write an expression, in terms of the variable in (i), for "one number".

. . . . .iii) Write out the sum of (i) and (ii), and simplify.

. . . . .iv) Write an expression, in terms of the "smaller" number (obviously

. . . . . . .the "another number"), for "three times the smaller".

. . . . .v) Write an expression, in terms of (iv), for "three less than" three

. . . . . . .times the smaller number.

. . . . .vi) Set (iii) equal to (v).

. . . . .vii) Solve for the variable in (i).

. . . . .viii) Back-solve for the other number, using (ii).

Redeemed3:16 said:

Joe is 10 years older than James. In 8 years, twice Joe's age will equal three times James's age. How old is each now?

First, learn how the topic works:

. . . . .**Google results for "age word problems"**
Then follow the process that the lessons you studied explained:

. . . . .i) Joe is defined in terms of James, so pick a variable for James'

. . . . . . .age right now.

. . . . .ii) Write an expression, in terms of (i), for Joe's age right now.

. . . . .iii) Write a new expression for James' age in eight years. (That

. . . . . . .is, add "8" to (i).)

. . . . .iv) In the same way, write a new expression for Joe's age in eight

. . . . . . .years, and simplify.

. . . . .v) Write an expression, in terms of (iv), for "twice" Joe's future

. . . . . . .age, and simplify.

. . . . .vi) Write an expression, in terms of (iii), for "three times" James'

. . . . . . .future age, and simplify.

. . . . .vii) Set (v) equal to (vi), and solve.

. . . . .viii) Back-solve, in terms of (i) and (ii), for their current ages.

If you get stuck, please reply showing how far you have gotten in following the instructions. Thank you!

Eliz.