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




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

Next similar examples:

  1. The result
    dice_2 How many times I decrease the number 1144 to get the result 22?
  2. Fractions 3
    fractions_9 Calculate 1/9 of 27:
  3. Eq1
    eq1_3 Solve equation: 4(a-3)=3(2a-5)
  4. Pie II
    pie_2 Vili ate three pieces of pie. If it pieces is 1/8 how much pie did he eat?
  5. Roman numerals
    roman_1 Write numbers written in Roman numerals as decimal.
  6. Summand
    plus One of the summands is 186. The second is 15 more. Determine the sum of the summands.
  7. Cookies
    koláčky Mom bake cookies. Rolo took 2/9 of all cookies, Michal 3/9. How many cookies ate Rolo if Michal had 9.
  8. Cakes
    cookies_1 On the bowl were a few cakes. Jane ate one-third of them, Dana ate a quarter of those cakes that remained. a) What part (of the original number of cakes) Dana ate? b) At least how many cakes could be (initially) on thebowl?
  9. Breads
    chlieb_2 Several pieces of bread were in the store. Half of them plus a half of bread bought a cookbook. Of the remaining bread, half of it plus half of the bread was bought by Mr. Novák. The last bread was bought by Ms. Small. How many breads were in the store at.
  10. I think
    numbers_49 I think a number. When I multiply it by five, and after that I subtract 477, I get the same number as if I multiplied it twice. What number do I think?
  11. If-then equation
    triangles_10 If 5x - 17 = -x + 7, then x =
  12. Fraction to decimal
    decimals Write the fraction 3/22 as a decimal.
  13. What is
    number_line_7 What is the value of the smaller of a pair of numbers for which their sum is 78 and their division quotients are 0.3?
  14. Apples 3
    apple Julka has 5 apples more than Hugo and four apples less than Annie. Hugo has 17 apples. How many apples has Julka and how Annie?
  15. Icecreams
    zmrzlina_4 Karthik bought 30 icecreams for his birthday .2/5 of them are chocolate icecreams. Find the number of chocolate icecreams he bought?
  16. Notebooks
    Notebook_1 Liza a store owner buys 560 notebooks. He sold 3/8 of the notebook then she adds the stocks of notebook of 1/4 of the number of notebooks she bought. What is the total number of notebook she bought?
  17. Chocolate
    choko Children break chocolate first to third and then every part of another half. What kind got each child? Draw a picture. What part would have received if each piece have halved?