Question

Two consecutive even numbers are such that five times the smaller number , subtracted from eight times the bigger gives 58. Find the two Numbers? show working​

Answer 1

`14\text{ and }16`

Explanation:

Let the smaller number be
`x`. Since they are consecutive even numbers, the larger number can be represented by
`x+2`.

Therefore, we have the following equation:

`8(x+2)-5x=58,\\8x+16-5x=58,\\3x=42,\\x=\boxed{14}`

Thus, the larger number is
`x+2=\boxed{16}`