SOLUTION: Find two numbers who sum is 30 so that 5 times the larger number decreased by three times the smaller number is 54.
Please help!
Algebra ->
Equations
-> SOLUTION: Find two numbers who sum is 30 so that 5 times the larger number decreased by three times the smaller number is 54.
Please help!
Log On
Question 340986: Find two numbers who sum is 30 so that 5 times the larger number decreased by three times the smaller number is 54.
Please help! Answer by jrfrunner(365) (Show Source):
You can put this solution on YOUR website! Find two numbers who sum is 30 so that 5 times the larger number decreased by three times the smaller number is 54
--
Let S=small number
Let L=large number
--
given
S+L=30
5L-3S=54
---
S=30-L solve for one of the variables
5L-3(30-L)=54 subtitute into the other equation
--
5L-90+3L=54
8L-90=54
8L=144
L=144/8=18
== and
==
validate
5L-3S=54
5(18)-3(12)=90-36=54 check
