Question

The sum of three consecutive even numbers is 618. What is the 3rd number?

Answer 1

Given :

• Sum of three numbers = 618

To find :

• The third number

Solution:

Let three consecutive numbers be x , x+1 and x+2 .

A/Q ,

The sum of these three numbers is 618.

$\therefore$ x + (x+1) + (x+2) = 618

$\implies$ x + x + 1 + x +2 = 618

$\implies$ 3x + 3 = 618

$\implies$ 3x = 618 - 3

$\implies$ 3x = 615

$\implies$ x = $\dfrac{615}{3}$

$\implies$ x = 205

• First number = 205
• Second number 206
• Third number = 207

$\underline{\sf \therefore The\ third\ number\ is\ 207}$

Verification :

Sum of all three numbers = 618

205 + 206 + 207 = 618

618 = 618

L.H.S = R.H.S

Hence verified .