SOLUTION: The difference between two numbers is ten. Four times the larger decreased by 30 equals three times the smaller increased by twenty. What are the numbers.

Question 231676: The difference between two numbers is ten. Four times the larger decreased by 30 equals three times the smaller increased by twenty. What are the numbers.
Found 2 solutions by frosteeblu, checkley77:
Answer by frosteeblu(4) (Show Source): You can put this solution on YOUR website!
x = the smaller number
x+10 = the bigger number
equation:
4(x+10) - 30 = 3x + 20
4x + 40 - 30 = 3x + 20
4x + 10 = 3x + 20
4x - 3x = 20 - 10
1x = 10
divide each side by 1
x=10
x+10=20
the smaller number is 10, and the bigger number is 20
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
x-y=10 or x=y+10
4x-30=3y+20 now replace x by (y+10) & solve for y.
4(y+10)-30=3y+20
4y+40-30=3y+20
4y-3y=20+30-40
y=10 ans.
x-10=10
x=10+10
x=20 ans.
Proof:
4*20-30=3*10+20
80-30=30+20
50=50
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