Question

$ x $ exceeds $ 3 $ by $ 7 $ , can be represented as:
A. $ x + 3 = 2 $
B. $ x + 7 = 3 $
C. $ x - 3 = 7 $
D. $ x - 7 = 3 $

Answer 1

Hint:
Here we need to convert the statement form which is given into the equation form. We must know what it means when we are said that $ a $ exceeds $ b $ by $ c $
By this knowledge we can easily represent the given statement in the equation form.

Complete step by step solution:
Here we are given that there is a number $ x $ which exceeds $ 3 $ by $ 7 $
So we need to know what it means when we are said that $ a $ exceeds $ b $ by $ c $
This statement means that $ a $ is more than $ b $ and the difference between $ a{\text{ and }}b $ is $ c $
For example: We have the general fact that $ 4 $ exceeds $ 3 $ by $ 1 $ which means that $ 4 $ is more than $ 3 $ by the number $ 1 $ which means that the difference between the numbers $ 4 - 3 = 1 $
If we are given that $ b $ exceeds $ a $ by $ c $
This statement means that $ b $ is more than $ a $ and the difference between $ {\text{b and a}} $ is $ c $
Hence we can similarly convert the statement given in the form of equation. We are given that $ x $ exceeds $ 3 $ by $ 7 $
So it means that $ x $ is more than $ 3 $ and the difference between $ x{\text{ and 3}} $ is $ 7 $
So we can write it as $ x - 3 = 7 $
Hence we have converted the given statement in the equation form which can be represented as $ x - 3 = 7 $

Hence C is the correct option.

Note:
Here we must know how we can convert the statement to the equation form. If we are given that there is a number $ x $ which exceeds $ 2y{\text{ by }}28 $ then it would mean that $ x - 2y = 28 $ in the similar way as we have got our required equation. Hence in this way we can convert the given statement into the equation form.