Question
Download Solution PDFA, B, C, D and E are five consecutive even numbers. If the sum of 'A' and 'D' is 162, what is the sum of all the numbers?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A, B, C, D, and E are five consecutive even numbers.
Sum of A and D = 162
Formula used:
If A, B, C, D, and E are consecutive even numbers, then A = x, B = x + 2, C = x + 4, D = x + 6, and E = x + 8
Sum of all numbers = A + B + C + D + E
Calculation:
A + D = 162
⇒ x + (x + 6) = 162
⇒ 2x + 6 = 162
⇒ 2x = 162 - 6
⇒ 2x = 156
⇒ x = 78
Therefore, A = 78, B = 80, C = 82, D = 84, E = 86
Sum of all numbers = A + B + C + D + E
⇒ 78 + 80 + 82 + 84 + 86 = 410
∴ The correct answer is option (4).
Last updated on May 21, 2025
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