since the difference between the numbers is 4
do subtraction for the 4 possible answers, which one has a difference of 4?
Answer:
Option C is correct
(20, 16)
Step-by-step explanation:
As per the statement:
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
System of equation is given as:
[tex]\frac{1}{2}x+\frac{1}{2}y = 18[/tex] .....[1]
[tex]x-y = 4[/tex] .....[2]
Multiply both sides by 2 in [1] we have;
[tex]x+y = 36[/tex] ....[3]
Add equations [2] and [3] we have;
2x = 40
Divide both sides by 2 we have;
x = 20
Substitute the value of x in [2] we have;
20-y = 4
Subtract 20 from both sides we have;
-y = -16
Divide both sides by -1 we have;
y = 16
therefore, the two numbers did Mira pick is, (20, 16)
