Maharashtra BoardEnglish MediumSTD 8MathsLinear Equations3 Marks
Question
Find three consecutive even numbers whose sum is 234.
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Answer
Let the first even number be x.
Let the second even number be x+2.
Let the third even number be x+4.
$\therefore\text{x}+\text{x}+2+\text{x}+4=234$
$\Rightarrow\text{x}+\text{x}+2+\text{x}+4=234$
$\Rightarrow3\text{x}+6=234$
$\Rightarrow3\text{x}=234-6$
$\Rightarrow3\text{x}=228$
$\Rightarrow\text{x}=\frac{228}{3}=76$
$\therefore$ First even number $=\text{x}=76$
Second even number $=\text{x}+2=76+2=78$
Third even number $=\text{x}+4=80$
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