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Answered

Mira picked two numbers from a bowl. The difference of the two numbers was 4, and the sum of one-half of each number was 18. The system that represents Mira’s numbers is below.


x – y = 4


x + y = 18


Which two numbers did Mira pick?


(10, 8)


(18, 4)

(20, 16)

(40, 32)

Verified Answer :

W0lf93

Based on the description, the system can be explained in equation form as x - y =4, an (x + y)/2 = 18. Based on these equations, we can plus in numbers from the given answers and come up with a solution where both equations are satisfied. The two numbers that satisfy both equations are (20, 16).

calculista

Let

x------> the first number

y-----> the second number

Assume \(x> y\)

we know that

\(x-y=4\) ----> equation A

\(\frac{x}{2}+ \frac{y}{2}=18\)

Multiply by \(2\) both sides

\(x+y=36\)-----> equation B

Adds equation A and equation B

\(x-y=4 \\x+y=36\\------- \\ x+x=4+36\\ 2x=40\\ x=20\)

Find the value of y

\(20-y=4\)

\(y=20-4=16\)

therefore

the answer is the option

\((20,16)\)