Diophantus

We know little about this Greek mathematician from Alexandria, except that he lived around 3rd century A.D. Thanks to an admirer of his, who described his life by means of an algebraic riddle, we know at least something about his life.
Diophantus's youth lasted 1/6 of his life. He had his first beard in the next 1/12 of his life. At the end of the following 1/7 of his life Diophantus got married. Five years from then his son was born. His son lived exactly 1/2 of Diophantus's life. Diophantus died 4 years after the death of his son.

How long did Diophantus live? [Diophantus epitaf]

Result

x =  84

Solution:

Solution in text x =

1/6* x + 1/12 * x + 1/7 * x + 5 + 1/2 * x + 4 = x

9x = 756

x = 84

Calculated by our simple equation calculator.







Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Need help calculate sum, simplify or multiply fractions? Try our fraction calculator. Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?

Next similar examples:

  1. Adding mixed numbers
    fractions_17 Add this two mixed numbers: 1 5/6 + 2 2/11=
  2. Gasoline price
    fuel_pump2_1 At 34.4 cents per liter, how much will 42 liters of gasoline cost?
  3. A cylindrical tank
    tanks_8 A cylindrical tank can hold 44 cubic meters of water. If the radius of the tank is 3.5 meters, how high is the tank?
  4. Rectangle 45
    rectangles2_4 The perimeter of a rectangle is 60cm. If the length of the rectangle is 20cm. a)find the width b)find the area.
  5. The cyclist
    cyclist_38 The cyclist drove from A to B, 60 km away. The first half drove at 30km/h, the second at 20km/h. How long did it take for him?
  6. Addition of mixed numerals
    scientific_3 Add two mixed fractions: 2 4/6 + 1 3/6
  7. Solid food
    lízátky_1 Stacie is a resident at the medical facility where you work. You are asked to chart the amount of solid food that she consumes. For the noon meal, today she ate 1/2 of a 3-ounce serving of meatloaf, 3/4 of her 3-ounce serving of mashed potatoes, and 1/3 of
  8. Caleb
    lemonade_1 Caleb is making lemonade for a party. He has 5 gallons of lemonade. He is putting 1/3 cubic inch of lemonade in a cup for each guest. How many guests are going to be at the party?
  9. Milo lifted
    vaha2_3 Milo lifted 65 lb 6 times and Jeremy lifted 50 lb 9 times. Which one lifted the most weight?
  10. Melting point
    mercury-metal-Hg The melting point of mercury is -36°F and its boiling point is 672°F. What is the difference between the boiling point and the melting point?
  11. Find unknown
    eq222_26 Find unknown numerator: 4/8 + _/8 = 1
  12. Cupcakes 2
    cake_4 Susi has 25 cupcakes. She gives 4/5. How much does she have left?
  13. If the 2
    teplomer_23 If the temperature is 86 degrees in Fahrenheit, what is the same temperature in Celsius?
  14. 8 degrees
    teplomer_22 8 degrees Celsius it cools down by 9 degrees Celsius. What is the resultant temperature?
  15. Noontime
    teplomer_21 In the morning temperature was 110°F. By noontime it has gone up by 15°F. What was the noon temperature. (Give your answer in °F)
  16. Recipe
    vaha2_2 A recipe requires 2 pounds of flour. If a chef wants to triple the recipe, how many ounces of flour will be needed?
  17. Allan
    fish_1 Allan keeps tropical fish. His aquarium is 4 feet long, 1 foot wide, and 2 feet tall. Each fish needs at least 0.5ft³ of water. What is the maximum number of fish that he can keep in the aquarium? Please show your solution. Please