SOLUTION: 10 years ago, Mona's mother was 4 times older than her daughter. After 10 years, the mother will be twice older than the daughter. Mona's present age is:

Algebra.Com
Question 1011390: 10 years ago, Mona's mother was 4 times older than her daughter. After 10 years, the mother will be twice older than the daughter. Mona's present age is:
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
10 years ago, Mona's mother was 4 times older than her daughter.
After 10 years, the mother will be twice older than the daughter. Mona's present age is:
------------------------------------------------------------------- 
Let x be the Mona's present age, and let y be the Mona's mother present age.

Ten years ago, Mona's age was x-10, and her mother's age was y-10.

Since ten years ago Mona's mother was 4 times older than her daughter, you have an equation

y-10 = 4*(x-10).

After 10 years, the mother's age will be y+10, and Mona's age will be x+10.

Since after 10 years, the mother will be twice older than the daughter, it gives you the second equation

y + 10 = 2*(x+10)

Solve this system for x and y:

.

Answer. x = 20. Mona's present age is 20 years.


RELATED QUESTIONS

10 years ago Ashraf's mother was four times older than her daughter. After 10 years, the... (answered by macston)
mother daughter older than 30 years. how many will be older than his daughter for 10... (answered by dkppathak)
A mother is 27 years older than her daughter. A year ago, the mother was twice as old as... (answered by 24HoursTutor.com)
Seven years ago, mother is 11 years older than twice the age of Laura her daughter. How... (answered by stanbon)
Paula´s mother is 18 years older than her. Her mother will be twice as old as Paula... (answered by josgarithmetic)
a mother is 20 years older than her daughter. in 7 years the mother will be 3 times as... (answered by josmiceli,mananth)
A mother is 25 years older than her daughter.Ten years ago,the daughter is 4/9 of the... (answered by josgarithmetic)
A mother is 25 years older than her son. In 10 years she will be twice as old as her son. (answered by TimothyLamb)
A mother is 25 years older than her daughter. In 10 years, she will be twice as old as... (answered by Cromlix,Alan3354)