Question

Dados tres números pares consecutivos, tales que cuatro veces el mayor sea siete veces el menor disminuido en 26 unidades. ¿Cuál es el número más pequeño?

Answer 1

The smallest even number is 14

Explanation:

Let's assume smallest number =x

Since, there are three consecutive even numbers

so, largest number will be x+2+2=x+4

four times the largest is seven times the smallest decreased by 26 units

so, we can set up equation as

`4* (x+4)=7* x-26`

now, we can solve for x

`4x+16=7x-26`

`4x=7x-42`

`-3x=-42`

`(-3x)/(-3)=(-42)/(-3)`

`x=14`

So,

the smallest even number is 14........Answer