anonymous
  • anonymous
I don't get this one. The difference between two numbers is 29. The sum of five times the smaller and two times the larger is 156. Find the two numbers.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
a. 14 and 15 b. -14 and 15 c. -15 and 14 d. 14 and 43
anonymous
  • anonymous
I don't' get this. :( It doesn't make sense to me all at.
anonymous
  • anonymous
let a = larger and b = smaller a-b=29; 2a+5b=156 if you know how to use substitution, you should be able to go from there if not, let me know and i'll explain the rest

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anonymous
  • anonymous
okay, give me a second.
anonymous
  • anonymous
i don't get it. :(
anonymous
  • anonymous
okay, well first, do you understand what I did there?
anonymous
  • anonymous
not really. Sorry
anonymous
  • anonymous
the difference between larger and smaller is 29 means larger - smaller =29
anonymous
  • anonymous
now for larger just make it a; so a=larger, b=smaller, from now on we use a and b
anonymous
  • anonymous
so a (larger) - b (smaller) =29
anonymous
  • anonymous
okay. I get that part.
anonymous
  • anonymous
the sum means adding so: 5b+2a=156
anonymous
  • anonymous
i.e. 5(smaller)+2(larger)=156
anonymous
  • anonymous
okay. Got it.
anonymous
  • anonymous
so again your two equations are a-b=29 5b+2a=156 so, move b to the right side in equation 1 getting: a=29+b then plug the value (29+b) for a in to the second equation. you should then be able to solve for b, once you get b plug the value for b into either equation to get a. a and b will be your two numbers
anonymous
  • anonymous
oh okay. i think i can take it from here. Thanks so much!!
anonymous
  • anonymous
no problem , just following those steps exactly should take you straight to the answer:) as long as they make sense to you
anonymous
  • anonymous
it does. i found it! :D

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