If twice

If twice the age of the daughter is added to the age of the mother, the sum is 56. but if twice the age of the mother is added to the age of the daughter, the sum is 82. find the age of the mother and daughter.

Correct result:

d =  10
m =  36

Solution:

2d+m=56
2m+d=82

2•d+m=56
2•m+d=82

2d+m = 56
d+2m = 82

d = 10
m = 36

Our linear equations calculator calculates it.

Try another example

Showing 0 comments:

Related math problems and questions:

• Mother and daughter 2
  The mother is 40 years older than her daughter. How old is the mother if her age is eight thirds age of daughter?
• Mother and daughter
  Three years ago mother was three times older than daughter. After nine years she will be only twice old. How old is mother (and daughter)?
• A mother
  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?
• Family and age ratios
  Age of father and son are in the ratio 10:3; age of father and daughter are in the ratio 5:2. How old is father and son, if daughter is 20 years old? In what ratio is age sister and brother?
• Mother and daughter
  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
  Mother is 44 years old, her daughter 14. How many years ago was her mother four times older than her daughter?
• Ages 2
  A man's age is 4 times his son's age. After 5 years he will be just twice his son's age, find their ages.
• 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?
• Carla
  Carla is 5 years old and Jim is 13 years younger than Peter. One year ago, Peter’s age was twice the sum of Carla’s and Jim’s age. Find the present age of each one of them.
• Reverse Pythagorean theorem
  Given are lengths of the sides of the triangles. Decide which one is rectangular: Δ ABC: 77 dm, 85 dm, 36 dm ? Δ DEF: 55 dm, 82 dm, 61 dm ? Δ GHI: 24 mm, 25 mm, 7 mm ? Δ JKL: 32 dm, 51 dm, 82 dm ? Δ MNO: 51 dm, 45 dm, 24 dm ?
• Sweets
  3 chocolate and 7 cakes cost 85, - CZK. 2 chocolates and 6 cakes cost 86, - CZK. How much is 5 chocolates and 9 cakes? I wonder how to get the result, but only by logic without the use of a system of equations
• Time passing
  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 mother now?
• An oil
  An oil drum is cut in half. One half is used as a water trough. Use the dimensions; length 82cm, width 56cm to estimate the capacity of the water trough in liters.
• Age of family
  The age of father and son is in the ratio 10: 3. The age of the father and daughter is in ratio 5: 2. How old are a father and a son if the daughter is 20?
• Forth and back
  Car goes from point A to point B at speed 78 km/h and back at 82 km/h. If went there and back at speed 81 km/h journey would take five minutes less. What is the distance between points A and B?
• Chickens and rabbits
  In the yard were chickens and rabbits. Together they had 18 heads and 56 legs. How many chickens and how many rabbits were in the yard?
• Age
  In 1960 my age was equal to the digits sum of the year of my birth. What is my age now?