Question

One number is 2 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 288, find the numbers. The three numbers are?

Answer 1

let the 1st number be 'x'
"One number is 2 times a first number"
so what about that number ?
2x or x+2 ?

Answer 2

let x,y,z be the 3 numbers
y = 2x
z = 100 + x
x + y + z = 288

Answer 3

move all the variables to one side, then solve using gaussian algorithm

Answer 4

ill help you start
-2x +y + 0z + 0= 0
x +0y -z + 100 = 0
x + y + z +0 = 0

Answer 5

I think you guys are making this more complicated than it has to be. I am really confused. "gaussian algorithm"??

Answer 6

let the 1st number be 'x'
"One number is 2 times a first number"
so what about that number ?
2x or x+2 ?

Answer 7

It's x+2

Answer 8

you have a system of 3 equations and 3 variables, substitute and subtract until you solve each 3 it's all tedious work from there all the heavy lifting is done

Answer 9

y = 2x
z = 100 + x
x + y + z = 288

first one is already done for you, sub 2x for every y you see. substitute 100 + x for every z
the last one becomes x + 2x + x + 100 = 288. You can solve that right?

Answer 10

2 times implies multiplication by 2
so it must be 2x
ok?

Answer 11

47, 94, 147 i did it my head already

Answer 12

for the solution just reread each response

Answer 13

I don't want the answer. I want to know how to do it. Okay, so what do I do after I get 2x hartnn?

Answer 14

ok
so the other number is 2x

now "A third number is 100 more than the first number."

so, what can you say about the 3rd number ?
x+100, x-100, 100x ...or anything else ?

Answer 15

x+100

Answer 16

correct!

Answer 17

So, "2x + x + 100" is what we got so far

Answer 18

the sum of these 3 will be
x+2x+100+x
right ?

yes! and thats given as 288
so
x+2x+100+x=288
can u find x from here ?

Answer 19

don't forget the 1st number 'x' :P

Answer 20

Okay, so 4x+100=288
so this equals= 47

Answer 21

That's our first number. 47.

Answer 22

nice work! correct :)

Answer 23

what about the 2nd ?

Answer 24

hmm so "2 twice the first number"= 94

Answer 25

correct again
2nd number = 94
what about 3rd ?

Answer 26

ok, use the answer to check your work after.
The trick in these kinds of questions is to assign each number a variable and for each sentence given, write out a statement in terms of the variables

For example: second number is 2 times the first becomes y = 2x
and so on

Answer 27

the once you have your equations you use your substitution and addition/subtraction to solve for each variable

Answer 28

"a third number is 100 more than the first number"= 100+47= 147
so, 47, 94, 147.

Answer 29

you got it :)

Answer 30

Finally! lol thanks so much guys! Special thanks to you @hartnn Thanks so much! :))

Answer 31

welcome so much ^_^