Question
A, 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?Solution
ATQ,
Let the five consecutive even numbers be: A = x B = x + 2 C = x + 4 D = x + 6 E = x + 8
Given: A + D = 162 ⇒ x + (x + 6) = 162 ⇒ 2x + 6 = 162 ⇒ 2x = 156 ⇒ x = 78 Now find all the numbers: A = 78, B = 80, C = 82, D = 84, E = 86 Sum of all = 78 + 80 + 82 + 84 + 86 = 410
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