Question

The sum of the digits of a two digit number is 14. The difference between the tens digit and the units digit is 2. If x is the tens digit and y is the ones digit, which system of equations represents the word problem?

xy = 14 and x - y = 2

x + y = 14 and x - y = 2

x + y = 14 and y - x = 2

Answer 1

B. x + y = 14 and x - y = 2

Explanation:

Sum means addition, so the sum of the tens digit (x) and the ones digit (y) is equal to 14 (x + y = 14).

Difference means subtraction, so the difference between the tens digit (x) and the ones digit (y) is 2 (x - y = 2).

I hope this helps =)

Answer 2

Option B. will be the answer.

Explanation:

If the tens digit is x and ones digit is y, then the number formed will be xy.

Now we fill form the equations as per statements given in the question.

"The difference between tens and unit digits is 2"

x - y = 2 --------(1)

"Sum of the digits of two digit number is 14"

x + y = 14 -------(2)

Therefore, system of equations will be as the given equations 1 and 2.

Option B is the answer.