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

Question

Mathematics

Leonardo Cantrell

21 December, 02:38

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

+2

Answers (1)

Know the Answer?

Tripp Levy · Answer 1

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.

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

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