SOLUTION: 40. Michael’s age is seven-tenths of Richard’s age. In four years Michael’s age will be eight-elevenths of Richard’s age. How old is Michael now?
Algebra ->
Customizable Word Problem Solvers
-> Age
-> SOLUTION: 40. Michael’s age is seven-tenths of Richard’s age. In four years Michael’s age will be eight-elevenths of Richard’s age. How old is Michael now?
Log On
Question 926444: 40. Michael’s age is seven-tenths of Richard’s age. In four years Michael’s age will be eight-elevenths of Richard’s age. How old is Michael now?
You can put this solution on YOUR website! x = mike age now
y = rich age now
---
x = (7/10)y
x + 4 = (8/11)(y + 4)
---
put the system of linear equations into standard form
---
x - (7/10)y = 0
x + 4 = (8/11)y + (8/11)4
---
x - (7/10)y = 0
x = (8/11)y + 32/11 - 44/11
---
x - (7/10)y = 0
x - (8/11)y = -12/11
---
x - 0.7y = 0
x - 0.72727272727y = -1.0909090909
---
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 = mike age now = 28
y = rich age now = 40
---
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
You can put this solution on YOUR website!
40. Michael’s age is seven-tenths of Richard’s age. In four years Michael’s age will be eight-elevenths of Richard’s age. How old is Michael now?
Let Richard's current age, be R
Then Michael's current age = , or
Therefore, we get:
77R - 80R = - 440 + 320 ------ Multiplying by LCD, 10
- 3R = - 120
R, or Richard's current age = , or 40 years-old
Michael's current age: , or , or years-old
