The sum of two numbers is 82. their difference is 24. find the two numbers. (use the substitution strategy) -define the variables and write a system of equations -explain answer in a sentence -write a paragraph explaining the steps taken to solve the problem. in other words, justify and explain your steps

Ur 2 numbers are represented by x and y

x + y = 82their sum is 82
x - y = 24their difference is 24

too bad u have to use substitution, elimination would have been easier

x + y = 82x = 82 - yso sub in 82 - y in for x in the other equation

x - y = 24
82 - y - y = 24
82 - 2y = 24
-2y = 24 - 82
-2y = - 58
y = -58/-2
y = 29

x + y = 82
x + 29 = 82
x = 82 - 29
x = 53

so ur 2 numbers are 53 and 29

TanQ=20/21

Step-by-step explanation:

since we know that

TanQ= opposite/Adjacent

so we are going to calculate for the adjacent using Pythagoras theorem

a^2+b^2=c^2

20^2+b^2=29^2

400 + b^2=841

b^2=841-400

√b^2=√441

b=21

so our tanQ= opp/adj

tanQ=20/21