1.8 Number and Geometry


The second angle of a triangle is twice as large as the first. The measure of the third angle is 20 degrees greater than the first. How large are the angles?
 
 
 
 
 

The sum of three consecutive odd integers is 255. What are the integers?
 
 
 
 

The sum of three consecutive integers is −126. What are the integers?
 
 
 
 

When five is added to three more than a certain number, the result is 19.
What is the number?
 
 
 
 

The second angle of a triangle is three times as large as the first. The measure
of the third angle is 40 degrees greater than that of the first angle. How large
are the three angles?
 
 
 
 

A horse and a saddle cost S5000. If the horse cost 4 times as much as the
saddle, what was the cost of each?
 
 
 
 

Fourteen less than eight times a number is three more than four times the number.
What is the number?
 
 
 
 

When 18 is subtracted from six times a certain number, the result is −42.
What is the number?
 
 
 
 
 

The sum of three consecutive integers is 108. What are the integers?
 
 
 
 

If five is subtracted from three times a certain number, the result is 10.
What is the number?