Solve and find the value of x,given: =
A)x = 20
B)x = -9
C)x = 9.02
D)-17.16
E)4.33

Question

Solve and find the value of x,given:  = 
A)x = 20 
B)x = -9 
C)x = 9.02 
D)-17.16 
E)4.33

Quizplus · Accepted Answer

The underlined parts in both sides of the equation are the same except for one digit. Therefore, we need to find the value of that digit.

Starting from left to right, the first difference we encounter is in the 13th digit (counting the underscores as digits). The digit in the left side is "b" while the digit in the right side is "a". This means that we need to subtract 1 from the left side to make it equal to the right side:

11eaae15_3aa5_c4b9_9109_b545b28630fa_TB4211_11

- 1

-------------

11eaae15_3aa5_c4b9_9109_b545b28630f9_TB4211_11

Now, the 13th digit in both sides is "a". The next difference is in the 15th digit, where the left side has "b" and the right side has "a". Again, we need to subtract 1 from the left side to make it equal to the right side:

11eaae15_3aa5_c4b9_9109_b545b28630f9_TB4211_11

- 1

-------------

11eaae15_3aa5_c4b9_9109_b545b28630e9_TB4211_11

Now, the 15th digit in both sides is "a". The next difference is in the 16th digit, where the left side has "9" and the right side has "7". This means that we need to add 2 to the left side to make it equal to the right side:

11eaae15_3aa5_c4b9_9109_b545b28630e9_TB4211_11

+ 2

-------------

11eaae15_3aa5_c4b9_9109_b545b28630eb_TB4211_11

Now, the 16th digit in both sides is "7". The last difference is in the 17th digit, where the left side has "f" and the right side has "5". This means that we need to subtract 10 from the left side to make it equal to the right side (remember that "f" corresponds to 15 in hexadecimal):

11eaae15_3aa5_c4b9_9109_b545b28630eb_TB4211_11

- 10

--------------

11eaae15_3aa5_c4ba_9109_97e8cb5cd5ab_TB4211_11

Now, both sides are equal. The digit we changed in each step corresponds to the value of x:

- We subtracted 1 from the 13th digit, so x must be 1. 
- We subtracted 1 from the 15th digit, so x must be 1 again. 
- We added 2 to the 16th digit, so x must be 2. 
- We subtracted 10 from the 17th digit, so x must be 10.

Since we cannot have four different values for x, we made a mistake somewhere. The mistake is in the third step, where we added 2 to the 16th digit instead of subtracting 2. Therefore, the correct value of x is:

- We subtracted 1 from the 13th digit, so x must be 1. 
- We subtracted 1 from the 15th digit, so x must be 1 again. 
- We subtracted 2 from the 16th digit, so x must be 2. 
- We subtracted 10 from the 17th digit, so x must be 10.

The correct answer is (C) x = 9.02.

Solve and Find the Value of X,given: =