SOLUTION: Can you please help figure out this word problem? I don't understand how to write the equation to figure the problem out. The sum of two digits is 66. If the smaller number is

Question 704957: Can you please help figure out this word problem? I don't understand how to write the equation to figure the problem out.
The sum of two digits is 66. If the smaller number is subtracted from two thirds of the larger number, the result is one-third the positive difference of the original number. Find the numbers.
my work: x=1st number
y=2nd number x+y=66 _____________? I dont understand how to do the next equation.

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

The sum of two digits is . If the smaller number is subtracted from two thirds of the larger number, the result is one-third the positive difference of the original number.
if is 1st number, and 2nd number,you are given that
.........eq.1

If the smaller number (let be smaller number) is subtracted from two thirds of the larger number (let be larger number), the result is one-third the positive difference (which is ) of the original number.
.........eq.1
.........eq.1..solve for
.......substitute in eq.2

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