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?

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Solution

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
$\frac{2 x}{2} = \frac{80}{2}$
x = 40
Hence, the lowest score is 40.

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