Question
Download Solution PDFWhat is the sum of all three digits numbers which one divisible by 20?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Digit numbers = 3
Divisibility condition = divisible by 20
Concept:
Sum of arithmetic series
Solution:
⇒ The first three-digit number divisible by 20 is 100 and the last is 980
⇒ This forms an arithmetic series with first term (a) = 100, common difference (d) = 20 and last term (l) = 980
⇒ The sum of an arithmetic series = n/2 × (a + l), where n is the number of terms
⇒ Using n = (l - a)/d + 1, we get n = 45
⇒ Sum = 45/2 × (100 + 980) = 24300
Therefore, the sum of all three digits numbers divisible by 20 is 24300.
Last updated on May 28, 2025
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