Question
Download Solution PDFIn an examination, the highest score and the lowest score are different by 55 and the higher one was 9/4 times the lower one. Find the lowest score.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The highest score and the lowest score are different by 55.
The higher one was 9/4 times the lower one
Calculation:
Let the highest score be x and lowest score be y
According to question
x – y = 55
⇒ x = 55 + y ---- (1)
Also, x = (9/4)y
⇒ 4x = 9y
⇒ 4x – 9y = 0
Placing the value of x from the equation (1), we get
4(55 + y) – 9y = 0
⇒ 220 + 4y – 9y = 0
⇒ 5y = 220
⇒ y = 44
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