Math, asked by devjitluwang, 1 year ago

Find three consecutive even numbers whose sum is 60.

Answers

Answered by nunzi
2

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

Answered by BrainlyRacer
9

✫ Solution ✫

Let us the first even number

    be 2x.

=========================

✫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).

===============================

✫ According to the question,

The sum of these three numbers

is 60.

=============================

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

================================

✫Hence, the first even number

  is 2x = 2 × 9 = 18

===============================

✫ Second even number

    is 18 + 2 = 20

================================

✫ and third even number

   is 18 + 4 =22

===============================

So,

✫the the required consecutive even

  numbers are 18, 20, and 22

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