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okay so with this information we can write down some expressions.
"the sum of two numbers is 60"
"sum" means addition
so that sentence means: Some number plus another number equals 60.
"some number" + "another number" = 60 in math, to simplify things we can represent "some number" and "another number" with letters. I like to use x and y: x + y =60
"Their difference is 12." Difference usually refers to subtraction. So that sentence means "the difference of some number and another number is 12" or x - y =12
so now we have: x - y = 12 x + y = 60
do you know of a way to figure out what x or y is?
No I dont
we can use a method called substitution.
lets start with the top equation
x - y = 12
if you add y to both sides what do you get?
x - y = 12 x = 12 + y
do you see how i did that?
okay so now we know for sure that x equals "12 + y"
well that means that we can go back to our other equation and plug "12 + y" in for "x"
x = "12 + y" and from before, x + y = 60 that means that "12 + y" + y = 60
(usually in math we dont write quotes, instead we use parenthesis) (12 + y) + y = 60 12 + y + y =60
if i have y + y how many y's do I have?
y + y = ??
y + y = 2y
one y plus another y is two y's
12 + y + y =60 12 + 2y = 60
So Wat Would The Smaller number be?
well we gotta figure out x and y to know which one is smaller useing this you can figure out y! 12 + 2y = 60
minus 12 from both sides
then divide both sides by 2
what do you get for y?
y = 24 x + y = 60 x + 24 = 60 x = 36
the smaller one is 24