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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?
Solution
Let the lowest score be l.
2 × Lowest marks + 7 = Highest marks
2l + 7 = 87
2l = 87 - 7 ...(Transposing 7 to R.H.S.)
2l = 80
Dividing both sides by 2
`(2l)/2 = 80/2`
l = 40
Therefore, the lowest score is 40.
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