SOLUTION: Alice is 10 years older as her brother Alex. In 5 years, she will be twice as old as her brother. Find the present ages of each

Algebra.Com
Question 776730: Alice is 10 years older as her brother Alex. In 5 years, she will be twice as old as her brother. Find the present ages of each

Answer by Cromlix(4381)   (Show Source): You can put this solution on YOUR website!
Alice is 10 years older as her brother Alex.
Al = 10 + Ax
In 5 years, she will be twice as old as her brother.
Al + 5 = 2(Ax + 5)
Replace Al with 10 + Ax from top equation.
10 + Ax + 5 = 2Ax + 10
Ax - 2Ax = 10 - 10 - 5
-Ax = -5
Ax = 5
Alex is 5 years old
Alice is 15 years old.
Hope this helps.
:-)

RELATED QUESTIONS

Alice is 10 years older as her brother Alex. In 5 years, she will be twice as old s her... (answered by josgarithmetic)
Susan is 16 years older than her brother. 10 years later, she will be twice as old as her (answered by ewatrrr)
Alice is 8 years older than her brother john. in 5 years she will be twice as old as... (answered by Earlsdon)
Susan is 10 years old then her brother . In three years time,she will be twiced as old as (answered by ankor@dixie-net.com)
Paige is 10 years older than her brother. In 7 years, Paige will be twice as old as her... (answered by ewatrrr)
girl is 5 times older than her brother, in 6 years she will be twice as old as her... (answered by stanbon)
a boy is 10 years older than his brother. in four years, he will be twice as old as his... (answered by TimothyLamb)
A boy is 10 years older than his brother. In 4 years he will be twice as old as his... (answered by stanbon)
A boy is 10 years older than his brother. In 4 years he will be twice as old as his... (answered by josgarithmetic)