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? x + y = 23 and y = 2x + 5 y = x + 5 and y + 2(x + 5) = 23 y = 2(x + 5) and x + y = 23

Answer 1

x+y = 23

y = 2x + 5

Explanation:

One number is 5 more (Add 5) than twice another (2 times x)

y = 2x + 5

the sum is 23 so x + y = 23

Answer 2

x + y = 23 and y = 2x + 5 represents the word problem One number is 5 more than twice another and their sum is 23

Solution:

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

Let the two numbers be "x" and "y"

Where one number let it be x is 5 more than twice the another number y and sum of these number is 23

y = 5 + 2x …. (1)

Sum of numbers = 23

x + y = 23 … (2)

Hence the above two equations x + y = 23 and y = 2x + 5 represents the word problem