Question
Find three consecutive positive even integers whose sum is $90$.
✓
Answer
Let first positive even number $= 2x$
Second number $= 2x + 2$
Third number $= 2x + 4$
$2x + 2x +2 + 2x + 4 = 90$
$\Rightarrow 6x + 6 = 90$
$\Rightarrow 6x = 90 - 6 = 84$
$x = 14$
First even number $= 2x = 2 × 14 = 28$
Second number $= 2x + 2 = 2 × 14 + 2 = 28 + 2 = 30$
Third number $= 30 + 2 = 32$
Required numbers are $28, 30, 32.$
Second number $= 2x + 2$
Third number $= 2x + 4$
$2x + 2x +2 + 2x + 4 = 90$
$\Rightarrow 6x + 6 = 90$
$\Rightarrow 6x = 90 - 6 = 84$
$x = 14$
First even number $= 2x = 2 × 14 = 28$
Second number $= 2x + 2 = 2 × 14 + 2 = 28 + 2 = 30$
Third number $= 30 + 2 = 32$
Required numbers are $28, 30, 32.$
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