The sum of three consecutive even numbers is 42. what is the smallest of these numbers

Question

asked Dec 2, 2022 192k views

2 Answers

Samshers · Answer 1 · 2022-12-03T08:58:49+0000

Given :

Sum of three consecutive even numbers is 42. We are to find the smallest of the smallest consecutive even number.

$\:$

Solution :

Let us assume the three consecutive even numbers be "x" , "(x + 2)" and "(x + 4)" . Here x is the smallest number .

So,

According to the Question :

x + (x + 2) + (x + 4) = 42

⇢x + x + 2 + x + 4 = 42

⇢ x + x + x + 2 + 4 = 42

⇢ 3x + 6 ⠀⠀⠀⠀⠀ = 42

⇢ 3x ⠀⠀⠀⠀⠀⠀⠀⠀= 42 - 6

⇢ 3x ⠀⠀⠀⠀⠀⠀⠀⠀= 36

⇢ x ⠀⠀⠀⠀⠀⠀⠀⠀= 36/3

⇢ x ⠀⠀⠀⠀⠀⠀⠀⠀ = 12

Hence, 12 is the smallest consecutive even number.

Gricel · Answer 2 · 2022-12-07T14:05:59+0000

Let's assume the lowest integer be x.Then the next integer x+2 (since our integers need to be even) and the third integer x+4.

$\qquad$ ____________________

It’s given–

$\bf{\underline{\underline{\dag According\ to\ the\ question:-}}}$

$\qquad$
$\pink{\bf\longrightarrow {x+( x +2)+(x+4) = 42} }$

$\qquad$
$\sf \longrightarrow 3x +6 =42$

$\qquad$
$\sf \longrightarrow 3x = 42-6$

$\qquad$
$\sf \longrightarrow 3x =36$

$\qquad$
$\sf \longrightarrow x = \cancel {(36)/(3)}$

$\qquad$
$\pink{ \bf\longrightarrow x = 12}$ ( which is our lowest integer.)

The smallest of these numbers is 12. And the next two integers we find with 12+2=14 and 12+4=16.

$\qquad$ ____________________