One number is 7 more than twice another. If their difference is 22, what is the larger number? a)29 b)37 c)43

Question

tkhunny · Answer

Please name the numbers.

anonymous · Answer

??

tkhunny · Answer

Why do I always get that response to that question?!

Do you know the numbers?  No!  Then you must call them something until you do.

L = The lesser number
G = The greater Number

There, I just named the numbers.  Now we can talk about them.

Translate the problem statement.

"One number is 7 more than twice another."

Find an expression involving L and G that means the same thing.

"If their difference is 22"

Find an expression involving L and G that means the same thing.

"what is the larger number"

Okay, we need G.

texaschic101 · Answer

x = one number
y = the other number

x = 2y + 7
x - y = 22

now sub 2y + 7 in for x in the 2nd equation, then solve for y.
Can you do that ?

tkhunny · Answer

Now, see!  What was the first thing @texaschic101 did?  Named the Numbers!  It is a GREAT place to start.

However, since we need 'x' (the greater of the 2), it may be wiser to solve for that, first, rather than y.

anonymous · Answer

ya i get it now

tkhunny · Answer

Excellent.  Never forget?

What does the problem statement want?  Whatever it is, NAME IT!  :-)