Question

One number is 5 more than twice another and their sum is 23.

Which of the following system of equations represents the word problem?


A. x + y = 23 and y = 2x + 5
B. y = x + 5 and y + 2(x + 5) = 23
C. y = 2(x + 5) and x + y = 23

Answer 1

Answer: the correct answer is option A. x + y = 23 and y = 2x +5

Explanation:

Answer 2

We let one of the numbers be x and the other one be y. From the first given, y is 5 more than twice x can be expressed y = 2x + 5. The sum of the numbers is 23 may be expressed as x + y = 23. Thus, the system is,
x + y = 23
y = 2x + 5
The answer is letter A.