SOLUTION: A father is 24 years older than his son. In 7 years, the son's age will be 2/5 that of his father. What are their present ages?

Algebra.Com
Question 934397: A father is 24 years older than his son. In 7 years, the son's age will be 2/5 that of his father. What are their present ages?
Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
x = father age
y = son age
---
x = y + 24
y + 7 = (2/5)(x + 7)
---
put the system of linear equations into standard form
---
x - y = 24
y + 7 = (2/5)x + (14/5)
---
x - y = 24
(2/5)x - y = 7 - (14/5)
---
x - y = 24
0.4x - y = 4.2
---
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 = father age = 33
y = son age = 9
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations with 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
---
Send and receive free text messages online:
https://sooeet.com

RELATED QUESTIONS

A father is 24 years older than is son in 7 years the son age will be 2/5 of his father.... (answered by mananth)
A father is 24 years older than his son. In 7 years, the son's age will be 2/5 that of... (answered by lwsshak3)
a father is 30 years older than his son. in 12 years, the father will be twice as old as... (answered by Maths68)
A father is 4 times as old as his son. In three years time His son will be 27 younger... (answered by rothauserc,math_helper)
Age Problem A father is 25 years older than his son. In 10 years, he will be twice as... (answered by josgarithmetic)
The sum of the ages of a father and his son is 45 years. Five years ago, the product of... (answered by ankor@dixie-net.com)
This word problem is really bugging me can you solve it? A father is now 20 years... (answered by mananth)
A father is 24 years older than his son. In 8years he will be twice as old as his son.... (answered by scott8148)
A father is 46 years older than his son. In 10 years he'll be twice as old as his son... (answered by stanbon)