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Help please The ratio of the sum and difference of two positive integers is 11 divided by 5 if the difference between the sum and difference is 24 what is the product of the two integers?
Wiki User
∙ 14y ago
Let the two integers be x and y, and y > x. So that,
(x + y)/(y - x) = 11/5 (multiply both sides by y - x)
x + y = (11/5)(y - x)
x + y = 11y/5 - 11x/5 (add (11x/5 and subtract y to both sides)
x + 11x/5 = 11y/5 - y (multiply each term in both sides by 5)
5x + 11x = 11y - 5y
16x = 6y (divide by 6 to both sides)
(16/6)x = y
(8/3)x = y
(x + y) - (y - x) = 24
x + y - y + x = 24
2x = 24 (divide by 2 to both sides)
x = 12
(8/3)x = y (substitute 12 for x)
(8/3)(12) = y
(8)(4) = y
32 = y
Thus, xy = (12)(32) = 384
Wiki User
∙ 14y ago
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What are the three categories of integers?
The set of integers is divided into three subsets. One is the positive integers. Another is the negative integers. The last subset has one element -- zero. In sum, integers are composed of the positive integers, the negative integers, and zero.
What are the rules in dividing integers?
A positive integer divided by a positive integer always results in a positive quotient. It is not possible to divide by zero.
How do you divide integers with the same sign?
When dividing integers with the same sign, your answer will be positive. 10 divided by 2 is 5. -100 divided by -50 is 2. I hope I answered your question. Thank you for asking.
What numbers are the composite numbers?
Composite numbers are positive integers which can be divided by numbers other than one and by itself.
Negative divided by a negative equal?
A negative divided or multiplied by a negative is always positive. Just like how in English, a double-negative is positive.
What is the sign of the quotient of two positive integers?
The quotient of two positive integers will be positive. A positive divided by a positive is positive. A positive divided by a negative is negative. A negative divided by a positive is negative. A negative divided by a negative is positive.
What is the difference between fractions and percentages?
Fractions are integers divided by integers. Percentages are the number of hundredths.
How are multiplying integers and dividing integers alike?
a negative x a negative= a positive, a positive x a positive= a positive, a negative x a positive= a negative, and a positive x a negative= a negative. Same thing with division. a negative divided by a negative= a positive, a positive divided by a positive= a positive, a negative divided by a positive= a negative, and a positive divided by a negative is a negative. U see?
What happen when you divided a positive by a negative integers?
The answer depends on how many negative integers you divide by.
What are the three categories of integers?
The set of integers is divided into three subsets. One is the positive integers. Another is the negative integers. The last subset has one element -- zero. In sum, integers are composed of the positive integers, the negative integers, and zero.
What is the quotient of 2 integers with the same sign?
It would be a positive number. A negative number divided by a negative number would be positive. A positive number divided by a positive number would also be positive. So, the quotient of 2 integers with the same sign will be a positive number, regardless of which sign the two numbers had.
What are the rules in dividing integers?
A positive integer divided by a positive integer always results in a positive quotient. It is not possible to divide by zero.
How do you divide integers with the same sign?
When dividing integers with the same sign, your answer will be positive. 10 divided by 2 is 5. -100 divided by -50 is 2. I hope I answered your question. Thank you for asking.
How do you multiplies and divides integers?
Multiplying and dividing integers is real easy. All you have to do is do regular dividing and multiplying keeping in mind these simple rules: RULES: 1: When multiplying or dividing integers, when the numbers are a positive, positive they equal a positive. When the numbers are negative, negative they equal a positive. In other words, same signs equal positive. 2: This rule is very similar to the rule above. The only change is that when the signs are different, they equal a negative. ( negative, positive= negative, positive, negative= negative.) Please correct me if I'm wrong. Multiply integers- my notes from class positive x positive= positive positive x negative= negative negative x negative= positive Divide integers- again my notes from class positive divided by a positive= positive negative divided by a negative= positive negative divided by a positive= negative Dividing integers are simple if the number has a different sign than the other it is always negative but if they have the same sign its always positive ex. -20/5=-4 ex. -20/-4=-5
For any positive integer x how many positive even integers are less than x is it x or x minus 1 or x plus 1 divided by 2 or x minus 1 divided by 2 or x divided by 2?
Given any positive odd integer x the number of positive even integers less than x is given by (x-1)/2.
What numbers are the composite numbers?
Composite numbers are positive integers which can be divided by numbers other than one and by itself.
Negative divided by a negative equal?
A negative divided or multiplied by a negative is always positive. Just like how in English, a double-negative is positive.
