The two numbers are 7 and 4
Let the first number = x
let the second number = y
The sum of the numbers is 11, in algebra form x + y = 11
The difference of the two numbers is 3, in algebra form, x - y = 3
To obtain the two unknown numbers, we solve the two equations;
from the first equation, x = 11 - y
substitute the value of x into the last equation;
(11 - y) - y = 3
11 - y - y = 3
11 - 2y = 3
2y = 11 - 3
2y = 8
y = 4
The value of x = 11 - 4 = 7
Thus, the two numbers are 7 and 4
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We have been given the steps to solve the equation as
Step 1: 2x = 18
Step 2: x = 18 − 2
Step 3: x = 16
There is an error in step 2.
We have
x is in multiplication with 2. So in order to get rid of 2 from the left hand side, we perform opposite operation of multiplication i.e. division.
So we must divide both sides by 2.
Therefore, A is the correct option.
A) She did not divide 18 by 2.