Question
Download Solution PDFThe sum of three consecutive multiples of 5 is 285. Find the largest number.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Sum of three consecutive multiples of 5 is 285
Calculation:
Three consecutive numbers are x, x + 1 and x + 2
So, Three consecutive multiples of 5 are 5x, 5(x + 1) and 5(x + 2)
The sum of three consecutive multiple of 5 is 285
∴ 5x + 5x + 5 + 5x + 10 = 285
⇒ 15x = 270
⇒ x = 18
Now, largest number = 5(x + 2) = 5 × 20 = 100
∴ The largest number is 100Last updated on Jul 4, 2025
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