Q: If the mother's age 10 years ago was 3 times the age of her son, and in 10 years the mother's age will be twice the age of her son, what is the ratio of their present ages?
If the age of the mother 10 years ago was 3 times the age of her son,and the mother's age in 10 years will be twice the age of her son,
the equation can be represented as:
3x+10+10=2(x+10+10)
3x+20=2x+40
x=20
The present ratio of the mother's age to the son's age is
(3x+10):(x+10) = (3*20+10):(20+10) = 70:30 = 7:3.
Problems on Ages