SOLUTION: Althea has a higher income than Ryan and their total income is $82,000. If there salaries differ by $16,000, then what is the income of each? If you could, for me, please: 1.

Question 809176: Althea has a higher income than Ryan and their total income is $82,000. If there salaries differ by $16,000, then what is the income of each?
If you could, for me, please:
1. Define your variables. For example, x = Althea's income, y = Ryan's income.
2. Write a system of two equations using your variables that models the problem.
3. Solve your system using substitution or addition.
Thank you!

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
a+r=82
a-r=16
addition or elimination method
2a=98
a=49 and so $49,000
82-49=33
r=$33,000

RELATED QUESTIONS
3. (a) The starting salary among 1999 graduates of the Evangelican Business School has a... (answered by ElectricPavlov)

(6 pts) A particular state computed income tax, T (in dollars) on a person’s income, x (answered by CubeyThePenguin)

(6 pts) A particular state computed income tax, T (in dollars) on a person’s income,... (answered by mananth,math_tutor2020)

A man invests 1/3 of his capital at 3% and the remainder at 4%. What is the capital if... (answered by josmiceli)

A man invests 1/3 of his capital at 3% and the remainder at 4%. What is the capital if... (answered by nerdybill,Earlsdon)

i. In a sample of 500 families, 70 have a yearly income of less than $40,000, 220 have a... (answered by ikleyn)

Suppose a married couple won the Mega Million and took it as a lump sum of $345,000,000.... (answered by ikleyn)

Adam’s annual salary is RM120,000 and his total expenses is RM90,000. His salary... (answered by mananth)

Instruction: Read and study the case of Me.castro, recently operates it's buy and sell... (answered by ikleyn)