Question

The sum of three consecutive even numbers is 582. What is the 1st number?

Answer 1

Answer :

The first number is 192 .

Given :

• Numbers are even consecutive.
• Their sum is equal to 582 .

To find :

• The first number

Solution:

Let the three consecutive even numbers

be x , x+2 and x +4 .

A/Q ,

Their sum = 582

$\implies$ x + (x+2) + (x+4) = 582

$\implies$ x + x +2 + x +4 = 582

$\implies$ 3x + 6 = 582

$\implies$ 3x = 582 - 6

$\implies$ 3x = 576

$\implies$ x = $\dfrac{576}{3}$

$\implies$ x = 192

First number = 192

Second number = 192 + 2 = 194

Third number = 192 + 4 = 196

$\underline{\sf \therefore The\ first\ number\ is\ 192}$

Verification :

192 + 194 + 196 = 582

582 = 582

LHS = RHS

Hence verified