Question

How would you figure this one out guys?
The sum of two numbers is
and the difference is
. What are the numbers?

Answer 1

I keep thinking its on the tip of my tongue i just have to know what the process is again. Thanks ! :)

Answer 2

the sum of two numbers
(n+n)
whats the difference? you left it blank

Answer 3

ahh sorry about that !! I mean to say The sum of two numbers is 15 and the difference is 13

Answer 4

but would you still know how to figure that out ?

Answer 5

i mean 51 !

Answer 6

but yeah !

Answer 7

sorry my typing skills are not working today

Answer 8

thats okay, so n+x=51 and n-x=13

Answer 9

i honestly dont know if theres anyway to solve this other than guess and check. so think of two random numbers between 0-51, and fill them in the blanks, with the larger number being n.

Answer 10

example: 15 and 4
15+4 doesnt equal 51 so we know that not right

Answer 11

okidoke gotcha ! thanks !! but im pretty sures there a formula or something o.o like
n+x=51=n-x=13 or something of that nature buuuut yeah

Answer 12

aha ! found something ! see if this makes any sense :

Let x be the larger number
Let y be the smaller number

x+y=51.... equation 1
x-y=13......equation 2

ill use substitution
ill isolate x in equation 2 then substitute it to equation 1
x=y+13

y+13+y=51
2y=51-13
2y=38
y=19

then substitute to any equation
x-y=13
since y=19
x-19=13
x=13+19
x=32

Answer 13

elimination also works
x+y=51
x-y=13
-------- add the equations together
2x =64
x =?