Answer:
Y=8 and X=21
Step-by-step explanation:
The key to solving word (story) problems is to learn how to translate words and phrases into concise, precise math expressions (variables and operations). Make a table and add to it as you do problems:
is means =
more than +
twice 2*x
sum +
of usually means multiply
...
Assign variables. Try to assign variables to the values the problem asks you to find.
In this problem, there are two variables. Let x = one number; y = other numbers
Translate:
"One number is 5 more than twice the other number" means
x = 5 + 2 * y
"sum of the two numbers is 29" means
x + y = 29
Now, the easy math.
Use the value for x from the first equation and substitute that into the second equation:
(5 + 2y) + y = 29
5 + 3y = 29 (collect terms)
3y = 24 (subtract 5 from both sides)
y = 8
Now, put that value of y into either equation to solve for x (Which equation is easier??)
x + 8 = 29
x = 21 (subtract 8 from both sides)
Checking (very important):
Is 21 really 5 more than 2(8)?
21 = 5+16 ?
21 = 21? yes
Is 21 + 8 = 29 ?
29 = 29? yes
p.s., learn the process, don't just get the right answer; there will be lots of problems that are solved the same way!
, so that would be the greatest common factor. This could also be written as 16x.