SOLUTION: A man is 6 times as old as his son. In 5 years he will be 2 years older than three times his sons age then. How old is the son now?

Question 925785: A man is 6 times as old as his son. In 5 years he will be 2 years older than three times his sons age then. How old is the son now?
Found 2 solutions by ewatrrr, TimothyLamb:
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
x the son's age now. Father 6x now.
In 5 years...
Father will be...
6x + 5 = 3(x+5) + 2
3x = 12
x = 4, the son's age now. father is 24
And..,checking
5 years from now...
29 = 27 + 2
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = man age now
y = son age now
---
x = 6y
x + 5 = 3(y + 5) + 2
---
x = 6y
x + 5 = 3y + 15 + 2
x + 5 = 3y + 17
x - 3y = 12
---
put the system of linear equations into standard form
---
x - 6y = 0
x - 3y = 12
---
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 = man age now = 24
y = son age now = 4
---
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
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