Question

Find three consecutive even numbers whose sum is 60.

Answer 1

the three consecutive even no. are 18+20+22=60

Answer 2

✫ Solution ✫

✫ Let us the first even number

    be 2x.

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✫Since the difference between

  two consecutive even number

  is 2, therefore, the second consecutive

  number will be (2x + 2), and third

  consecutive even number will

   be (2x + 4).

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✫ According to the question,

The sum of these three numbers

is 60.

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So,

we obtain

$2x+(2x+2)+(2x+4)=60\\\\\implies6x+6=60\\\\\implies6x=60-6\\\\\implies6x=54\\\\\implies x=\dfrac{54}{6}\\\\\implies x=9$

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✫Hence, the first even number

  is 2x = 2 × 9 = 18

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✫ Second even number

    is 18 + 2 = 20

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✫ and third even number

   is 18 + 4 =22

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So,

✫the the required consecutive even

  numbers are 18, 20, and 22