SOLUTION: Find two numbers whose difference is 2 and four times the smaller minus three times the larger is 17.

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Question 1169116: Find two numbers whose difference is 2 and four times the smaller minus three times the larger is
17.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let the larger number be x and the smaller y
if their difference is 2 we have
x-y=2....solve for x
x=y%2B2......eq.1
and if four times the smaller minus three times the larger is
17, we have
4y-3x=17......solve for x
4y-17=3x
x=%284y-17%29%2F3.....eq.2
from eq.1 and eq.2 we have
y%2B2=%284y-17%29%2F3.....solve for y
3y%2B6=4y-17
17%2B6=4y-3y
y=23

go to
x=y%2B2......eq.1, substitute y
x=23%2B2
x=25

so, two numbers are 25 and 23