5.Find three consecutive even numbers whose sum is 504.
Answers
Answer:
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Step-by-step explanation:
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Answer:
We know that,
Even numbers can be expressed in the form of 2n.
Let,
the three consecutive even numbers be 2n, 2n + 2 & 2n + 4
ATQ
2n + (2n + 2) + (2n + 4) = 504
or, 2n + 2n + 2n + 2 + 4 = 504
or, 6n + 6 = 504
or, 6n = 504 - 6
or, n = 498/6
or, n = 83
So, the three numbers are –(i)2n
= 2 × 83
= 166
(ii)2n + 2
= 166 + 2
= 168
(iii)2n + 4
= 166 + 4
= 170