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 answer:

x =  84

Step-by-step explanation:

 1/6 x+1/12 x+1/7 x+5+1/2 x+4=x  9x=756  x=84   Verifying Solution:  6=23 12=223 7 ...  prime number LCM(6,12,7)=2237=84  x0=LCM(6,12,7)=84

We will be pleased if You send us any improvements to this math problem. Thank you!


Tips to related online calculators
Need help to 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 a quadratic equation?
Do you want to perform natural numbers division - find the quotient and remainder?

Related math problems and questions:

  • Pupil age
    age_6 I am a pupil of the primary school, and I spent 1/4 of my age on parents' exercise with children, 1/3 on drawing, 1/6 on flute. I did not have a ring for the first three years of my life and never went to two rings at once. How old am I?
  • By six
    numbers_1 From the digits 1,2,3,4 we create the long integer number 123412341234. .. .. , which will have 962 digits. Is this number divisible by 6?
  • LCD 2
    zlomky_6 The least common denominator of 2/5, 1/2, and 3/4
  • In the
    bn_850 In the 6th class, the average half-year mark in physics was 1.7. At the end of the year, Maťo improved his mark from 2 to 1, Ivanka from 3 to 2, and Elenka from 4 to 2. Pavlík worsened his mark from 3 to 4. The average mark of the whole class thus improve
  • The collector
    film Harry liked to collect old movies. On 4 different days, he bought 2 movies. On 2 other days, he bought 3 movies each day. After that he sold 2 sets of 2 movies. He figured out how many he had total, and then he divided that total into 2 groups to put onto
  • Cents no more
    cent Janko bought pencils for 35 cents each. Neither he nor the salesperson had small coins, just a whole € 1 coin. At least how many pencils had to buy to pay for the whole euros?
  • Granddaughter
    calendar In 2014, the sum of the ages of Meghan's aunt, her daughter and her granddaughter was equal to 100 years. In what year was the granddaughter born, if we know that the age of each can be expressed as the power of two?
  • Faye had
    meter Faye had a piece of ribbon. After using 3/8 meter for her headband, she had 1/4 meter left. How many meters of ribbon did she have at first?
  • 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
  • Blades
    ruler2_1 1st blade 2,5 m, 2nd blade. .1.75 m. How many same long pieces of this two blades can be do the biggest? How long is one piece?
  • Three friends
    gulky_9 Three friends had balls in ratio 2: 7: 4 at the start of the game. Could they have the same number of balls at the end of the game? Write 0, if not, or write the minimum number of balls they had together.
  • Foot in bus
    havo It was 102 people on the bus. 28 girls had two dogs. A 11 girls had one dog. At the next stop seceded 5 dogs (even with their owners). They got two boys together with three dogs. The bus drove one driver. How many foot were in bus?
  • Number train
    train2 The numbers 1,2,3,4,5,6,7,8 and 9 traveled by train. The train had three cars and each was carrying just three numbers. No. 1 rode in the first carriage, and in the last carriage was all odd numbers. The conductor calculated sum of the numbers in the firs
  • Adding mixed numerals
    zlomky_18 3 3/4 + 2 3/5 + 5 1/2 Show your solution.
  • Metal rod
    meter_1 You have a metal rod that’s 51/64 inches long. The rod needs to be trimmed. You cut 1/64 inches from one end and 1/32 inches from the other end. Next, you cut the rod into 6 equal pieces. What will be the final length of each piece?
  • Car
    journey Car travels 1/3 of the trip on the first day, second day 2/5 of the trip and left even 340 km for next days. How long is the trip?
  • Bathroom 4
    water Dolor puts 3 1/2 pails of water into a water container in the bathroom every day. Her daughter, Lei, uses 2 1/4 pails of water every day when taking a bath. If the water container had 5 5/8 pails of water at the start, how much water is left in it after 5