SOLUTION: A mother is 25 years older than her son. In 10 years she will be twice as old as her son. How old are the mother and son?

Question 931784: A mother is 25 years older than her son. In 10 years she will be twice as old as her son. How old are the mother and son?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = mother age now
y = son age now
---
x = y + 25
x = 10 = 2(y + 10)
---
put the system of linear equations into standard form
---
x = y + 25
x = 10 = 2y + 20
---
x - y = 25
x - 2y = 10
---
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 = mother age now = 40
y = son age now = 15
---
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
A mother is 23 years older than her son. In 7 years she will be twice as old as her son.... (answered by stanbon)

a boy is 10 years old and his mother is 37 years old. In how many years time will the... (answered by Alan3354,Edwin McCravy)

A boy Is 10 years old and his mother is 37 years old. In how many years time will the... (answered by ikleyn,greenestamps)

A mother is 40 years old and her son is 8 years old In how many years will the mother be... (answered by jorel555)

A mother is three times as old as her son. In 18 years time, she will be twice as old as... (answered by ikleyn,MathLover1,MathTherapy)

a boy 10 years old and his mother is 37 years old in how many years did his mother will... (answered by Alan3354,macston)

A boy is 10 years old and his mother is 37 years old.in how many years time will the... (answered by Alan3354,josh_jordan)

A boy is 10 years old and his mother is 37 years old.in how many years time will the... (answered by josgarithmetic,greenestamps)

A woman is 27 years older than HER son and 10 years from now, She will be twice as old as (answered by josgarithmetic,MathTherapy)