Write and equation that can be used to solve each of the following word problems

Question

the ration of two angles 1:2 and their sum is 96

 

the lenght of a recatangle is twice the width and the area of the rectangle is 100cm( squared, little 2)

 

the ratio of three numbers is 1:2:5 and the sume of those numbers is 24

 

three sisters are two years apart and the sum of their ages is 36

 

two complementary angles are in a ratio of 2:7

 

the lenght of rectangle is three more than it's width and the perimiter is 30 

Answer 1

When a ratio of numbers is added to produce a sum first define your variable. For example let 1x be the smallest value you are searching for. The value can be an angle, a length, etc. If the ratio is 1:2:3 and the sum is 30 then set the equation as 1x+2x+3x=30. Next solve the equation for x by combining like terms (6x=30 then divide both sides by 6 therefore x=5). In this word problem the smallest value 1x=5, the middle value 2x=10, and the largest value 3x=15. Check your answer 5+10+15=30. I hope this helps :-)