SOLUTION: Solve the problem: One number is 1 less than a second number. Twice the second number is 20 less than 4 times the first. Find the two numbers. Please show steps on this. Tha

Algebra ->  Inequalities -> SOLUTION: Solve the problem: One number is 1 less than a second number. Twice the second number is 20 less than 4 times the first. Find the two numbers. Please show steps on this. Tha      Log On


   



Question 760154: Solve the problem:
One number is 1 less than a second number. Twice the second number is
20 less than 4 times the first. Find the two numbers.
Please show steps on this. Thank you :)

Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
One number is 1 less than a second number. Twice the second number is
20 less than 4 times the first. Find the two numbers.
-----
Equations:
o = s -1
2s = 4o - 20
--------
Substitute for "o" and solve for "s":
2s = 4(s-1) - 20
2s = 4s -24
2s = 24
second # = 12
------
Solve for "o":
o = s-1
o = 12-1
o = 11
==================
Cheers,
Stan H.
===================

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

if one number (let it be x) is 1 less than a second number (let it be y), then
x%2B1=y....eq.1
if twice the second number is 20 less than 4 times the first, then
2y%2B20=4x....eq.2
solve the system:
x%2B1=y....eq.1
2y%2B20=4x....eq.2
_________________________
x%2B1=y....eq.1...substitute in eq.2
2%28x%2B1%29%2B20=4x....eq.2
2x%2B2%2B20=4x
22=4x-2x
22=2x
22%2F2=x
highlight%2811=x%29
now find x%2B1=y....eq.1
11%2B1=y
highlight%2812=y%29