Question

Find three consecutive even integers whose sum is 90.

Answer 1

Answer:

28,30,32

Step-by-step explanation:

let the numbers be X-2, X and X+2

X-2+X+X+2=90

3X=90

Thus, X=30

The numbers are 28,30,32

Answer 2

$Let \: x , (x+2)\: and \: (x+4) \: are \: three$

$cosecutive \: even \: integers$

$Sum = 90 \: (given )$

$\implies x + x + 2 + x + 4 = 90$

$\implies 3x + 6 = 90$

$\implies 3x = 90 - 6$

$\implies 3x = 84$

$\implies x = \frac{84}{3}$

$\implies x = 28$

Therefore.,

$\red{ Required \: cosecutive \: even \: integers}$

$i ) x = 28$

$ii) x + 2 = 28 + 2 = 30$

$iii) x + 4 = 28 + 4 = 32$

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