Mother and daughter

The ratio of years mother and daughter is 5:2. After 7 years the ratio is 2: 1. How many years ago daughter was born?

Correct answer:

d =  14

Step-by-step explanation:


2m = 5d
1(m+7) = 2(d+7)

2•m = 5•d
1•(m+7) = 2•(d+7)

5d-2m = 0
2d-m = -7

d = 14
m = 35

Our linear equations calculator calculates it.



Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar







Tips to related online calculators
Check out our ratio calculator.
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

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

Related math problems and questions:

  • Mother and daughter
    mom_daughter Three years ago, the mother was three times older than the daughter. After nine years, she will be only twice old. How old is the mother (and daughter)?
  • Mother and daughter
    family The mother is four times older than her daughter. Five years ago, her daughter was seven times younger than her mother. How many years do they have now?
  • Mother and daughter 2
    mother_baby The mother is 40 years older than her daughter. How old is the mother if her age is eight thirds age of daughter?
  • A mother
    family A mother is three times older than her daughter. 9 years ago, mom was 6 times older than her daughter. How old are a mother and daughter now?
  • Mom and daughter
    family Mother is 39 years old. Her daughter is 15 years. For many years will mother be four times older than the daughter?
  • Mother and daughter
    clocks2 Mother is 44 years old, her daughter 14. How many years ago was her mother four times older than her daughter?
  • The family
    family How old is a mother if she is four times older than her daughter and 5 years ago she was even seven times older than her daughter? Today, a son is 30 years younger than a father. 7 years ago, a father was seven times older than a son. How old is a son tod
  • Family and age ratios
    family The age of father and son are in the ratio 10:3; the age of father and daughter are in the ratio 5:2. How old are father and son if the daughter is 20 years old? In what ratio is age sister and brother?
  • Family
    family Mom is 42 years old and her daughters 13 and 19. After how many years will mother as old as her daughter together?
  • Father and daughter
    family Father is 36 years old, daughter is 20 years less. What will be the ratio between them when they are 10 years more?
  • Ravens
    krkavec The tale of the Seven Ravens were seven brothers, each of whom was born exactly 2.5 years after the previous one. When the eldest of the brothers was 2-times older than the youngest, mother all curse. How old was seven ravens brothers when their mother cu
  • Time passing
    clock-night-schr 6 years ago, Marcela's mother was two times older than her and two times younger than her father. When Marcela is 36, she will be twice as young as her father. How old are Marcela, her father, and her mother now?
  • Father and sons
    family After15 years will father many years as his two sons together now. There is a six-year difference between the brothers, and the older one celebrated fifty years three years ago. How old is their father now?
  • Mother and son
    family Mother is four times older than her son. In 16 years, the son will be two times younger than his mother. How many years are mother and son?
  • Three siblings
    brothers Three siblings have birthday in one day-today. Together they have 35 years today. The youngest is three years younger than middle and the oldest is 5 years older than middle. How old is each?
  • Pair
    dvaja They have together 39 years - he has 2 times as she was when he was equal as she has today ....
  • Ages
    calendar Father is 36 years old, and his daughter is 4 years old. Write down the ratio of the age of father and daughter. In what ratio will the ages of father and daughter after 4 years?