Question

the sum of three consecutive even numbers is sixty. what is the smallest of the three numbers​

Answer 1

Answer:

The smallest of the three numbers is 18.

Explanation:

Given that,

Sum of three even numbers are 60.

Find the smallest of the three number.

Suppose the smallest number is $x$

Since, they are even consecutive.

$\therefore$ The other two consecutive numbers will be :

• $(x + 2)$
• $(x + 4)$

Now, their sum is 60.

${ \underline{ \boldsymbol{According \: to \:the \: question : }}}$

$\implies x + (x + 2) + (x + 4) = 60$

$\implies x + x + 2 + x + 4 = 60$

$\implies 3x + 6 = 60$

$\implies 3x = 60 - 6 \: \: \: \: \: \: \: {\gray{\sf{[Transposing \: 6 \: to \: L. H. S.]}}}$

$\implies 3x = 54$

$\implies x = \dfrac{54}{3} \: \: \: \: \: \: \: {\gray{\sf{[Transposing \: 3 \: to \: L. H. S.]}}}$

$\implies \boldsymbol{x = 18}$

$\therefore{ \underline{ \sf{The \: smallest \: number \: is \: \bf 18}}}$

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