Question

the sum of two numbers is 5 times their difference. if one exceeds the other by one, what are the numbers??

Answer 1

@terenzreignz

Answer 2

Okay, word problems... first step is to represent your values... but you have to read your problem thoroughly...
Now, you have two numbers... say we represent one of them with "x"
How do you represent the other number?

Answer 3

y

Answer 4

I guess you could do that, but that's not the quickest way...
Remember, your problem says "one exceeds the other by one"
which means your other number is "one more" than your previous number.

Answer 5

x^2

Answer 6

?

Answer 7

Whoa there... where did you get that?!

Answer 8

idk like at all lol i just woke up lol so im not workin that great so represent it with maybe 1 ?

Answer 9

or x+1

Answer 10

x+1, yes :D

Answer 11

okay x+1 so now what

Answer 12

So we have x, and x + 1, these are our two numbers...
So it says... the sum of these two numbers is equal to five times their difference.
Can you translate that into an equation?

Answer 13

hmmmm
x(x+1)/5? if not that i dont know lol

Answer 14

Okay... relax... ... ... ... again...

What is the sum of x and x + 1 ?

Answer 15

x(x+1)=5x

Answer 16

Not quite...
I'm just asking you what the sum of x and x+1 is :D

Answer 17

idk though lol 5

Answer 18

No... you're complicating things... and that's actually my job :P
the sum of x and x+1 is just...
<drum roll>

Answer 19

x + x + 1

LOL

Answer 20

oh my gosh lol im dumb.

Answer 21

Or 2x + 1

Now, what's the difference of x+1 and x?

Answer 22

the difference between them is 5

Answer 23

Well, the difference between them is
(x+1) - x
:P

Answer 24

Which is just 1.

Answer 25

oh ok

Answer 26

Okay, so the sum of these two numbers
2x + 1
is equal to FIVE TIMES THEIR DIFFERENCE. their difference is 1.
So...
2x + 1 = 5(1)
Now solve :P

Answer 27

5

Answer 28

lol wut

Answer 29

so basically 2x+1=5

Answer 30

We're past that now...
solve this:
2x + 1 = 5

Answer 31

x=2

Answer 32

oh yeah.. that

Answer 33

lol i was working up to it

Answer 34

Okay, great :)
So if x = 2
what's the other number (which is exceeds your first number by 1) ?

Answer 35

which exceeds *

Answer 36

3

Answer 37

So your two numbers are...?

Answer 38

2,3

Answer 39

Awesome :)

Answer 40

okay moving on lol

Answer 41

Hey, you're yellow XD

Answer 42

yay lol