Question

80 decreased by 3 times a number is the same as 5 times the number increased by 8 find the number.

Answer 1

The number is 5.

Explanation:

Let the number be
`$ x $`.

Given
`$ 80 $` is decreased
`$ 3 $` times
`$ x $`.

`$ \implies 80 - 3x $`

`$ 5 $` times the number increased by
`$ 8 $`.

`$ 5(x + 8) $`

This means:

`$ 8 - 3x = 5(x + 8) $`

`$ \implies 8x = 40 $`

`$ \implies x = 5 $`