Question

3 is added to 5 times a certain number and the result is multiplied by 5 the final answer is not more than 2 less than the number

Answer 1

The number is less than - 0.708

Explanation:

Given - 3 is added to 5 times a certain number and the result is multiplied by 5 the final answer is not more than 2 less than the number

To find - What is the number ?

Proof -

Let a number be x

Given that,

3 is added to 5 times a certain number

So,

The expression becomes 3 + 5x

Now,

Given that, the result is multiplied by 5

So,

The expression becomes (3 + 5x)× 5

Now,

Given that,

The final answer is not more that 2 less than the number.

So,

The equation becomes

(3 + 5x)× 5 ≤ x - 2

⇒15 + 25x ≤ x - 2

⇒15 + 2 + 25x - x ≤ 0

⇒17 + 24x ≤ 0

⇒24x ≤ -17

⇒x ≤ -
`(17)/(24)`

⇒ x ≤ -0.708

∴ we get

The number is less than - 0.708