Question

There are 3 consecutive even integers that have a sum of 210.

Answer 1

$<b><u>What are consecutive even numbers? => Consecutive even numbers are those numbers which follow each other without skipping any number. For eg, 12, 14, 16 or 32, 34, 36, 38, etc.</b></u>$



Now, let's come to the question :-


Let the three consecutive even numbers be x , x + 2 and x + 4


A/q,

x + x + 2 + x + 4 = 210

3x + 6 = 210

3x = 210 - 6

3x = 204

x = $\frac{204}{3}$

x = 68



$\star{}$ 1st consecutive number => x => 68


$\star{}$ 2nd consecutive number => x + 2 => 68 + 2 => 70


$\star{}$ 3rd consecutive number => x + 4 => 68 + 4 => 72




$\therefore{}$ The three consecutive even numbers are 68, 70 and 72

Answer 2

$\bf{\huge{\texit{ANSWER}}}$

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$\bf{\underline{\large{ GIVEN}}}$

Sum of 3 consecutive even numbers = 210

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$\bf{\underline{\large{ SOLUTION}}}$

Let the first consecutive even number be x

Second consecutive even number
= x + 2

Third consecutive even number = x + 4

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$\bf{\underline{\large{ THE \: EQUATION \: FORMED}}}$

x + x + 2 + x + 4 = 210

=> 3x + 6 = 210

=> 3x = 210 - 6

=> 3x = 204

=> x = 204/3

=> x = 68

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$\bf{\underline{\large{ ANS}}}$

The numbers are :

● 68

● 70

● 72

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#BE BRAINLY

@Sanskriti141