Math, asked by nishantyadav8761, 4 months ago

Find 3consecutive even numbers whose

sum is 239​

Answers

Answered by BrainlyIAS
5

Given : ( correction)

Sum of 3 consecutive even numbers is 240

To Find :

Three consecutive even numbers

Solution :

Let one consecutive even number be '2x'

2nd consecutive even number = 2 (x + 1)

3rd consecutive even number = 2 (x + 2)

★ Sum of 3 consecutive even numbers is 720

➠ 2x + 2(x + 1) + 2(x + 2) = 240

➠ 2x + 2x + 2 + 2x + 4 = 240

➠ 6x + 6 = 240

➠ 6x = 240 - 6

➠ 6x = 234

x = 39  \orange{\bigstar}

⇻ 1st consecutive even number ,

  • 2x = 78

⇻ 2nd consecutive even number ,

  • 2(x + 1) = 80

⇻ 3rd consecutive even number ,

  • 2( x + 2) = 82
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