One third of a number added to five thirds of a second number equals to four. Four times the number plus five times the second number is equal to three. Find the smaller number.

Let x and y represent the numbers.

We have the following system of equations:

(1/3)x + (5/3)y = 4

4x + 5y = 3

........

click here to see the system of equations solved for x and y

x = -3

y = 3

Since -3 < 3 the smaller number is -3.

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