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In x plus y plus z plus w equal 30 how many solutions are possible such that the variables in the are odd positive numbers?
Wiki User
∙ 14y ago
Assuming x,y,z,w can't be same
As the sum of 4 odd positive integers is required to be 30, no number can be equal to 29,27, 25 or 23.
21+1+3+5
17+1+5+7
17+1+9+3
15+1+5+9
15+1+3+11
15+9+1+5
15+3+5+7
13+1+5+11
13+1+7+9
13+3+5+9
So 10 Solutions
Wiki User
∙ 14y ago
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You can do all the calculations with variables - add the numbers, and divide by the size of the set. Of course, you'll probably end up having variables in the average as well.
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An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.
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156
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