Question
Download Solution PDFIf the average of 6 consecutive even numbers is 183, find the smallest number.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Average of 6 consecutive even numbers = 183
Formula used:
Average =
Calculation:
Let the 6 consecutive even numbers be: x, x+2, x+4, x+6, x+8, x+10
Average =
⇒ 183 =
⇒ 183 × 6 = 6x + 30
⇒ 1098 = 6x + 30
⇒ 6x = 1098 - 30
⇒ 6x = 1068
⇒ x = 1068 ÷ 6
⇒ x = 178
∴ The smallest number is 178.
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