anonymous
  • anonymous
The sum of two numbers is 60. Their difference is 12. What is the smaller number?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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eyust707
  • eyust707
okay so with this information we can write down some expressions.
eyust707
  • eyust707
"the sum of two numbers is 60"
eyust707
  • eyust707
"sum" means addition

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More answers

eyust707
  • eyust707
so that sentence means: Some number plus another number equals 60.
eyust707
  • eyust707
"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
eyust707
  • eyust707
"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
eyust707
  • eyust707
so now we have: x - y = 12 x + y = 60
eyust707
  • eyust707
do you know of a way to figure out what x or y is?
anonymous
  • anonymous
No I dont
eyust707
  • eyust707
we can use a method called substitution.
eyust707
  • eyust707
lets start with the top equation
eyust707
  • eyust707
x - y = 12
eyust707
  • eyust707
if you add y to both sides what do you get?
anonymous
  • anonymous
24
eyust707
  • eyust707
x - y = 12 x = 12 + y
eyust707
  • eyust707
do you see how i did that?
anonymous
  • anonymous
oh yes
eyust707
  • eyust707
okay so now we know for sure that x equals "12 + y"
anonymous
  • anonymous
yes
eyust707
  • eyust707
well that means that we can go back to our other equation and plug "12 + y" in for "x"
anonymous
  • anonymous
yes
eyust707
  • eyust707
x = "12 + y" and from before, x + y = 60 that means that "12 + y" + y = 60
eyust707
  • eyust707
(usually in math we dont write quotes, instead we use parenthesis) (12 + y) + y = 60 12 + y + y =60
eyust707
  • eyust707
if i have y + y how many y's do I have?
anonymous
  • anonymous
24
eyust707
  • eyust707
y + y = ??
anonymous
  • anonymous
12
eyust707
  • eyust707
y + y = 2y
eyust707
  • eyust707
one y plus another y is two y's
eyust707
  • eyust707
=P
eyust707
  • eyust707
12 + y + y =60 12 + 2y = 60
anonymous
  • anonymous
So Wat Would The Smaller number be?
eyust707
  • eyust707
well we gotta figure out x and y to know which one is smaller useing this you can figure out y! 12 + 2y = 60
eyust707
  • eyust707
minus 12 from both sides
eyust707
  • eyust707
then divide both sides by 2
eyust707
  • eyust707
what do you get for y?
eyust707
  • eyust707
y = 24 x + y = 60 x + 24 = 60 x = 36
eyust707
  • eyust707
the smaller one is 24

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