SOLUTION: i need help with this problem divide 56 into two parts such that 3/8 of the larger number decreased by 6 equals 1/4 of the smaller number.

Question 442927: i need help with this problem
divide 56 into two parts such that 3/8 of the larger number decreased by 6 equals 1/4 of the smaller number.
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
So let's let the two parts be x and y. Let x be the larger number.
Then and
You have yourself a system of equations. Two unknowns, two equations. It's solvable.
x+y = 56 ---> x = 56 -y
Then

Let's multiply everything by 8.

based on our first equation.

So our numbers are 32 and 24.

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