SOLUTION: There are two numbers that are 3 times as far from 19 as they are from 11. The sum of those two numbers is ____. I tried this: 3x19=57 3x11=33 so i'm saying the answer i

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Question 697297: There are two numbers that are 3 times as far from 19 as they are from 11. The sum of those two numbers is ____.
I tried this:
3x19=57
3x11=33
so i'm saying the answer is 90. Is this correct?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I think you have to draw a number line and
then show just where the 2 numbers are
that you are looking for. Here's the line and
numbers you are interested in
------------------------------------
^ n[1] . . . . .^ 11. . . . . . . . . . . . .^ 19
In this situation, I have
(1) +3%2A+%28+11+-+n%5B1%5D+%29+=+19+-+n%5B1%5D+
===========================
The other situation looks like:
-------------------------------------
^ 11 . . . . ^ n[2] . . . . . . . . . . . ^ 19
I can write this as:
(2) ++3%2A%28+n%5B2%5D+-+11+%29++=+19+-+n%5B2%5D+
============================
(1) +33+-+3n%5B1%5D+=+19+-+n%5B1%5D+
(1) +2n%5B1%5D+=+33+-+19+
(1) +2n%5B1%5D+=+14+
(1) +n%5B1%5D+=+7+
and
(2) ++3%2A%28+n%5B2%5D+-+11+%29++=+19+-+n%5B2%5D+
(2) +3n%5B2%5D+-+33+=+19+-+n%5B2%5D+
(2) +4n%5B2%5D+=+52+
(2) +n%5B2%5D+=+13+
----------------
The numbers are 7 and 13, and the sum is:
+7+%2B+13+=+20+ answer
check answer:
(1) +3%2A+%28+11+-+n%5B1%5D+%29+=+19+-+n%5B1%5D+
(1) +3%2A+%28+11+-+7+%29+=+19+-+7+
(1) +3%2A4+=+12+
(1) +12+=+12+
and
(2) ++3%2A%28+n%5B2%5D+-+11+%29++=+19+-+n%5B2%5D+
(2) ++3%2A%28+13+-+11+%29++=+19+-+13+
(2) +3%2A2+=+6+
(2) +6+=+6+
OK