Question

of three consecutive even numbers is 30. Find the numbers. 2​

Answer 1

Step-by-step explanation:

x+x+1+x+2=30

3x+3=30

3x=27

x=27/3

x=9

x+1=9+1=10

x+2=9+2=11

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Answer 2

$\Large{\bf{\green{\mathfrak{\dag{\underline{\underline{Given:-}}}}}}}$

• Sum of 3 consecutive even numbers is 30.

$\Large{\bf{\orange{\mathfrak{\dag{\underline{\underline{To \: Find:-}}}}}}}$

• The numbers.

$\Large{\bf{\red{\mathfrak{\dag{\underline{\underline{Solution:-}}}}}}}$

First,

• Let the number be x.

Next,

• Since they are consecutive even numbers.

Therefore,

• The 3 consecutive even numbers are x + 2, x + 4 and x + 6.

Now,

Solving them,

• x + 2 + x + 3 + x + 6 = 30

• 3x + 12 = 30

• 3x = 30 - 12

• 3x = 18

• x = $\sf \dfrac{18}{3}$

• x = 6

Now,

The numbers are,

• x + 2 = 6 + 2 = 8

• x + 4 = 6 + 4 = 10

• x + 6 = 6 + 6 = 12

Therefore,

• $\boxed{\purple{\textsf{The 3 consecutive even numbers are 8, 10, 12.}}}$