Question

The sum of three consecutive even numbers is 318. What is the 1st number?

Answer 1

Answer:

Let the numbers be = x, x+2,x+4

According to the question

$x + x + x + 2 + 4 = 318 \\ \\ = 3x + 6 = 318 \\ \\ 3x = 318 - 6 \\ \\ 3x = 312 \\ \\ x = \frac{312}{3} \\ \\ x = 104$

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Required Numbers -

$\rightarrow$x=104

$\rightarrow$x+2=106

$\rightarrow$x+4=108

Answer 2

$\:\:\:\: \Large \underline {\sf{Given\::}}$

➟ The sum of three consecutive even numbers is 318

$\:\:\:\: \Large \underline {\sf{To\:Find\::}}$

➟ The first number

$\:\:\:\: \Large \underline {\sf{Solution\::}}$

➟ Let the first number be x , then second number will be x + 2 and third number will be x + 4

$\:\:\:\: \rightarrow \large \underline {\sf{\pink{According\: to\: the\: question\::}}}$

➟ $\sf x\:+\:x\:+\:2\:+\:x\:+\:4\:=\:318$

➟ $\sf 3x\:+\:6\:=\:318$

➟ $\sf 3x\:=\:318\:-\:6$

➟ $\sf 3x\:=\:312$

➟ $\sf x\:=\: \cancel \dfrac{312}{3}$

➟ $\large \underline{\boxed{\sf{\pink{ x\:=\:104}}}}$

$\:\:\:\: \small \underline {\sf{First\:number\:=\:x\:=\:104}}$

$\:\:\:\: \small \underline {\sf{Second\:number\:=\:x\:+\:2\:=\:104\:+\:2\:=\:106}}$

$\:\:\:\: \small \underline {\sf{Third\:number\:=\:x\:+\:3\:=\:104\:+\:3\:=\:107}}$

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