The current temperature in Smalltown is 27 °F. This is 5 degrees less than twice the temperature that it was six hours ago. What was the temperature in Smalltown six hours ago?

Respuesta :

Answer:

16° F.

Step-by-step explanation:

Given:

The current temperature in Small town is 27 °F.

This is 5 degrees less than twice the temperature that it was six hours ago.

Question asked

What was the temperature in Small town six hours ago?

Solution:

Let the temperature in Small town six hours ago was [tex]x[/tex]

As given that the current temperature in Small town is 27 °F and this is  5 degrees less than twice the temperature of six hours ago, the equation will be:-

27 °F = 5 degrees less than twice the temperature of six hours ago

27 °F = [tex]2x-5[/tex]°

Adding both sides by 5

[tex]27+5=2x-5+5\\32=2x[/tex]

Dividing both sides by 2

[tex]\frac{32}{2} =\frac{2x}{2} \\16=x[/tex]

Thus, the temperature in Small town six hours ago was 16° F.