Question

The teacher tells the class that the highest marks obtained by a student in her class is twice the lowest marks plus 7. The highest score is 87. What is the lowest score?

• A. 44
• B. 33
• C. 40
• D. 53

Answer 1

The correct option is C 40

Let us assume the lowest score be x.
Given,
Highest score = 87
Highest marks obtained by a student in her class is twice the lowest marks plus 7
The given above statement can be written in the equation form as,
2x + 7 = Highest score
2x + 7 = 87
By transposing 7 from LHS to RHS, it becomes -7
2x = 87 – 7
2x = 80
Now,
Divide both the side by 2
$\frac{2x}{2}=\frac{80}{2}$
x = 40
Hence, the lowest score is 40.