The sum of the two digits of a number is 16. the number formed by reversing the digits is 18 more than the original number. determine the original number. let t = the tens digit, u = the units digit, and u + t = 16. which of the following equations would complete the system?

9t - 9u = 18
9u - 9t = 18
tu = ut + 18

Step-by-step explanation:

The equation that completes the system is:

First, we have to remember that tens value 10 units per digit, and units value one uni per digit. So, the number of the problem would be expressed like:

Now, the problem states that if the number is reversed its formed another number which is 18 units more than the original, that would be expressed like:

Solving this relation, we have:

Therefore, the expression that complete the system is the second equation.

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