SOLUTION: Please answer the following word problem. This was an algebra problem on my 15 year old's homework tonight and although it is probably simple, my husband and I can not for the life

Question 16458: Please answer the following word problem. This was an algebra problem on my 15 year old's homework tonight and although it is probably simple, my husband and I can not for the life of us help her figure it out. Here it goes:
The difference of two numbers equals 33. If four times the lesser number is subtracted from three times the greater number, the difference is 62. Find the numbers.
Answer by pwac(253) (Show Source): You can put this solution on YOUR website!
This is solved by linear system of equations.
First find equations from information given
Let n=the greater number and x= the lesser togive
n-x=33-----(1) our other equation is:
3n-4x=62---(2)
if we re-arrange(1)
n=33+x and substitute this value into (2)
3(33+x)-4x=62 remove brackets by multiplying by the 3
99+3x-4x=62
99-x=62 subtract 99 from both sides
-x=-37 multiply both sides by -1
x=37 put this value of x into---(1) to get:
n-37=33 add 37 to both sides
n=70
There are your two numbers 70 and 37
Hope this helps
Pete
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