SOLUTION: how can i solve this word problem?: one number is 4 less than another number. the sum of the two numbers if four times their difference. what are the two numbers?

Question 234024: how can i solve this word problem?:
one number is 4 less than another number. the sum of the two numbers if four times their difference. what are the two numbers?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
: how can i solve this word problem?:
one number is 4 less than another number. the sum of the two numbers if four times their difference. what are the two numbers?
:
Two numbers: x & y
;
Just write an equation for what it says:
:
"one number is 4 less than another number."
x = y - 4
:
" the sum of the two numbers is four times their difference."
x + y = 4(x - y)
x + y = 4x - 4y
y + 4y = 4x - x
5y = 3x
:
what are the two numbers?
From the 1st statement, replace x with (y-4) in the above equation:
5y = 3(y - 4)
5y = 3y - 12
5y - 3y = -12
2y = -12
y = -6
;
Find x
x = -6 - 4
x = -10
;
:
Is this true, does 5y = 3x
5(-6) = 3(-10)
:
Check in the statement:
the sum of the two numbers is four times their difference."
-10 - 6 = 4(-10 -(-6))
-16 = 4(-10 + 6)
-16 = 4(-4)
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