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Two interesting math problems
One: A mathematician spent 1/7' s life as a happy childhood. After childhood, he spent 65,438+0/4 time studying. After his school days, he got married. After five years of marriage, he gave birth to two sons, and he was very happy, but his children only spent half his time in the world. After his son died, he spent four years in sorrow and died with his son.

1/7x+ 1/4x+5+ 1/2x+4 = x

x=84

I remember it was Diophantine.

In addition, you actually calculate the least common multiple.

Is a multiple of 7, a multiple of 4

It's about 84. His son didn't die that early, did he?

Two: A woman's husband's last words said that if she gave birth to a son, the son would get 2/3 of the property and she would get 1/3. If a daughter is born, she gets 2/3 of the inheritance, and the daughter gets 1/3. But now that she has given birth to a man and a woman, how should the property be divided? How many shares? How many sons, daughters and women are there?

Son: mother: female = 4: 2: 1

So son: 4/7; Female: 2/7 Female: 1/7