Question

If \[h\] and \[k\]are positive numbers and \[h+k=7,\ then\ \dfrac{7-k}{h}=?\]
A. 1
B. 0
C. -1
D. \[h\]
E. \[k-1\]

Answer 1

Hint: In the given question, we have been asked to find the value of \[\dfrac{7-k}{h}\]. In order to find the value, first we need to find the value of h or k in terms of variables and then substitute the value of h or k with what you find in \[\dfrac{7-k}{h}\]. Then we will get the required solution.

Complete step by step solution:
It is given that,
\[h+k=7\]
Solving the above equation for the value of \[h\], we get
Subtracting \[k\]from both the sides of the equation, we obtain
\[h+k-k=7-k\]
Simplifying the above equation, we get
\[h=7-k\]
We have to find,
\[\dfrac{7-k}{h}\]
Replacing \[h=7-k\] in the above equation, we obtain
\[\Rightarrow \dfrac{7-k}{h}=\dfrac{7-k}{7-k}=1\]
Therefore, \[\dfrac{7-k}{h}=1\]
Hence, it is the required solution.

So, the correct answer is “Option A”.

Note: The question which has been asked requires some basic knowledge of mathematical operations such as addition, subtraction, multiplication and division to solve to question and find the answer. You should always remember that in these types of questions, you will have to find a value from the given equation in the question then put that value in that equation, which we will need to find. You should do all the calculation explicitly to avoid any mistake as they are score gaining questions which are asked in the exam. Always remember that when we transpose any number to the other side of the equals sign, then their sign will change. For example; addition will change to subtraction, subtraction will change into addition, multiplication will change into division and the division sign will change into multiplication.