SOLUTION: Emily is 28 years younger than Stephanie. Stephanie and Emily first met two years ago. Eighteen years ago, Stephanie was 5 times as old as Emily. How old is emily?

Algebra.Com
Question 930207: Emily is 28 years younger than Stephanie. Stephanie and Emily first met two years ago. Eighteen years ago, Stephanie was 5 times as old as Emily. How old is emily?

Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
x = emily age
y = stephanie age
---
x = y - 28
y - 18 = 5(x - 18)
---
put the system of linear equations into standard form
---
x - y = -28
y - 18 = 5x - 18*5
---
x - y = -28
5x - y = -18 + 18*5
---
x - y = -28
5x - y = 72
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = emily age = 25
y = stephanie age = 53
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
---

RELATED QUESTIONS

Stephanie is 28 years older than Jessica. Stephanie and Jessica first met two years ago.... (answered by ewatrrr)
Stephanie is 3 times as old as Emily and is also 14 years older than Emily. How old is (answered by ewatrrr)
Stephen is 29 years younger than Stephanie. 4 years ago, Stephanie's age was 2 times... (answered by Alan3354)
William is 2 times as old as Stephanie. 28 years ago, William was 9 times as old as... (answered by ankor@dixie-net.com)
William is 2 times as old as Stephanie. 28 years ago, William was 9 times as old as... (answered by stanbon)
Luis is 16 years older than Stephanie. For the last four years, luis and Stephanie have... (answered by josgarithmetic)
stephanie is 66 years older than Nadia. Six years ago, Stephanie was 33 times as old as... (answered by ankor@dixie-net.com)
Stephanie is two years younger than three times Jeff's age. If Stephanie is 22, how old... (answered by fractalier)
Stephanie is two years younger than three times Jeff's age. If Stephanie is 22, how old... (answered by ikleyn)