# 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 through 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 when his son was born. His son lived precisely 1/2 of Diophantus's life. Diophantus died four years after the death of his son.

How long did Diophantus live? [Diophantus epitaf]

Correct result:

x =  84

#### Solution:

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

9x = 756

x = 84

Our simple equation calculator calculates it.

We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!

Tips to related online calculators
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?
Do you want to perform natural numbers division - find the quotient and remainder?

## Next similar math problems:

• Two-element combinations
Write all two-element combinations from elements a, b, c, d.
• Three dice
The player throwing the three dice asked G. Galilei the question: "Should I bet on the sum of 11 or the sum of 12?" What did Galilei answer him? Hint: write down all three triples of numbers that can be thrown and: have a total of 11 have a total of 12 an
• Venn diagram
University students chose a foreign language for the 1st year. Of the 120 enrolled students, 75 chose English, 65 German, and 40 both English and German. Using the Venn diagram, determine: - how many of the enrolled students chose English only - how many
• The sum 6
The sum of the 17 different natural numbers is 153. Determine the sum of the two largest ones.
• Language courses
Of the company's 60 employees, 28 attend an English course, 17 take a German course, and 20 do not attend any of these courses. How many employees attend both courses?
• Into box
How many cubes with an edge of 2.5 cm fit into a box measuring 11.6 cm; 8.9 cm and 13.75 cm?
• Sphere cut
A sphere segment is cut off from a sphere k with radius r = 1. The volume of the sphere inscribed in this segment is equal to 1/6 of the volume of the segment. What is the distance of the cutting plane from the center of the sphere?
• Deceleration of car
The car has a speed of 60 km/h and after 100 m journey speed of 40 km/h. What is the deceleration of a car if we assume that its movement is constantly slowed down?
• Double-track line
A 160 m long passenger train runs on a double-track line in one direction at a constant speed of 54 km/h, and a 240 m long express train in the opposite direction. a) How fast is the express train if passing the passenger train driver for 6 s? b) How long
• Number 4
Kamila wrote all natural numbers from 1 to 400 inclusive. How many times did she write the number 4?
• Divisible by nine
How many three-digit natural numbers in total are divisible without a remainder by the number 9?
• Dance ensembles
4 dance ensembles were dancing at the festival. None had less than 10 and more than 20 members. All dancers from some of the two ensembles were represented in each dance. First, 31 participants were on the stage, then 32, 34, 35, 37, and 38. How many danc
• Borrowing bicycle
Jakub lent a bicycle to friends who wanted to ride it. For a three-hour bike ride, Jakub received 2 chocolates. Yup. If you wanted a bike for 2 hours, you had to give Jakub 12 candies. Peter gave Jakub 1 chocolate and 3 candies. How long can Peter ride Ja
• One dice
Calculate the probability of a roll of one dice with the numbers 1, 2, 3, 4, 5, 6 on the walls. Write the results in a notebook in the shape of a fraction in the basic form: 2/3. a, The number 1 falls on the cube. b, The number 5 falls on the cube. c, An
• Telco company
The upstairs communications company offers customers a special long distance calling rate that includes a \$0.10 per minute charge. Which of the following represents this fee scheduale where m represents the number of minutes and c is the overall cost of t
• Fresh juice
The seller offers fresh-squeezed juice, which the customer either pours into his own containers or sells it in liter plastic bottles, which the customer buys from him. A liter of juice costs 40 CZK more than a bottle. There is no charge for turning the ju
• Pagans
Jano and Michael ate pagans. Jano ate three more than Michael. The product of their counts (numbers) is 180. How many pagans did each of them eat?