The word partition means "division into shares". In Math, partition in number theory is a method of writing numbers as a sum of positive integers. Each integer is called a part or a summand. The order of the summand matters, thus making the sum a composition.
Partition function represents the possible number of partitions of a number (natural number <em>n</em>), or the number of distinct and order-independent methods of illustrating n as a sum of natural numbers.
Young diagram can be used to represent integer partitions.
Partition of numbers is taught to children specially the young ones to split large numbers to smaller units. This can be done in four different ways. For instance: 1 + 4, 1 + 1+ 1 + 2, 1 +3 +1 and 3 + 1 + 1.
When a number is 3 times a first number. A third number is 100 more than the first number and the sum of the three numbers is 450, the numbers are 70, 170 and 210.
<h3>How to calculate the numbers?</h3>
Let the first number = x
Second number = 3x
Third number = x + 100
Sum = 450
The numbers will be:
x + 3x + x + 100 = 450
5x + 100 = 450
5x = 450 - 100
5x = 350
Divide
x = 350 / 5
x = 70
First number = 70
Second number = 3x = 3 × 70 = 210
Third number = x + 100 = 70 + 100 = 170
Therefore, the numbers are 70, 170 and 210.
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One number is 3 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 450 , find the numbers.
Answer:
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