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Solution: Set; The total number of inheritances is $x, and the number of children is y. According to the meaning of the question, the equation can be obtained:
100+1/10(x-100)=200+1/10100+1/10(x-100)=200+1/10(x-100-1/10x+10-200)
100+1/10x-10=200+1/10(9/10x-90-200)
90+1/10x=200+9/100x-9-201/100x=81
x=8100 (yuan).
100 + 1 10 (8100-100) = 900 yuan 8100 900 = 9 people.
Answer; The total inheritance is 8,100 yuan, with a total of 9 children, and each of them receives an inheritance of 900 yuan.
Or: Solution: If the total amount of inheritance is x yuan, then the eldest will get: 100 + (x-100) * 1 10 = 1 10x + 90 The second child will get 200 + [x-(1 10x+90)-200]*1 10 Because each child gets the same amount. So, 200 + [x-(1 10x+90)-200]*1 10 100+(x-100)*1 10
9/100x+171=1/10x+90
1/100x=81
x=8100
That is, a total inheritance of 8,100 yuan.
Each child gets: 1 10 * 8100 + 90 900 total: 8100 900 9 children.
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Solution: If the total amount of inheritance is x yuan, then the boss will get: 100 + (x-100) * 1 10 = 1 10x + 90
The second child gets 200+[x-(1 10x+90)-200]*1 10 Because every child gets the same amount. So, 200 + [x-(1 10x+90)-200]*1 10 100+(x-100)*1 10
9/100x+171=1/10x+90
1/100x=81
x=8100
That is, a total inheritance of 8,100 yuan.
Each child gets: 1 10 * 8100 + 90 900 total: 8100 900 9 children.
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Euler was a gifted Swiss mathematician, one of the top three in the history of mathematics (Newton and Gauss), extremely talented, including an amazing memory, and unparalleled mental arithmetic ability, and extremely diligent, but also very humble, and pioneered many disciplines, variations, graph theory, and so on. The number of books that can frighten people to death is that it took the Petersburg Academy 47 years to organize his writings. Almost twice as many as Cauchy, who is the second most numerous, and now most of the numbers in mathematics are used for him.
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