Question

Two adjacent doors in a hotel have room numbers that are two consecutive even numbers. If their sum is 162, find the door numbers.

Answer 1

The door numbers are 80 and 82.

Given:

The door numbers are two consecutive even numbers.

Sum of the numbers is 162.

The objective is to find the door numbers.

Consecutive numbers are numbers arranged next to each other.

Since it is given as consecutive even numbers, the next number should be 2 greater than the previous number.

Consider the two consecutive even numbers are, x and x+2.

If sum of the two consecutive numbers is 162, then,

`\begin{gathered} x+(x+2)=162 \\ 2x+2=162 \\ 2x=162-2 \\ 2x=160 \\ x=(160)/(2) \\ x=80 \end{gathered}`

If the first door number is 80, then next consecutive even number is 80+2=82.

Hence, the door numbers are 80 ad 82.