Digital PSAT Math Practice Question 6: Answer and Explanation

Question: 6

A two-digit number has a tens place, t, and a units place, u. The digits have the following relationships:

What is the value of the two-digit number given by these two digits?

Correct Answer: B

Explanation:

(B) Use substitution to solve for t and u:

Plug in 2 + u for t into the first equation:

Plug in 3 for u into one of the original equations, and solve for t. This gives 5 in the tens place and 3 in the ones place, making 53 your answer.

Alternatively, you can solve this using elimination.

Rearrange the second equation:

Then you have this as the set of equations:

Add the two together to get:

Then substitute t = 5 into the first equation to solve for u:

The answer is still 53.