The family

How old is a mother if she is four times older than her daughter, and five years ago she was seven times older than her daughter?
Today, a son is 30 years younger than his father. Seven years ago, the father was seven times older than the son. How old is the son today? In how many years will the father's age equal the combined ages of all his children?

Final Answer:

m =  40
s =  12
x =  20

Step-by-step explanation:

m=4 d m5=7 (d5)  m5=7 (m/45)  3m=120  m=3120=40  m=40  d=m/4=40/4=10
s=o30 o7 = 7 (s7)  (s+30)7=7 (s7)  6s=72  s=672=12  s=12  o=s+30=12+30=42
o+x=(s+x)+(d+x) 42+x=(12+x)+(10+x)  x=20



Help us improve! If you spot a mistake, please let let us know. Thank you!







Tips for related online calculators
Do you have a linear equation or system of equations and are looking for a solution? Or do you have a quadratic equation?
Do you want to convert time units like minutes to seconds?

You need to know the following knowledge to solve this word math problem:

algebrabasic operations and conceptsUnits of physical quantitiesGrade of the word problem

Related math problems and questions: