If a and b are positive integers and their product is 3 times their sum, what is the value of 1/a + 1/b?
Given that ab = 3(a + b).
From this, ab/3 = a + b.
Dividing through by ab yields 1/a + 1/b = 1/3.
 👍
 👎
 👁
 ℹ️
 🚩
Answer this Question
Related Questions

Algebra
The sum of 3 integers is 194. the sum of the first and second integers exceeds the third by 80. The third integer is 45 less than the first. Find the three integers

Check my answers MATH
Which statement about the product is true? 5.643 times 4 point ModifyingAbove 6 with bar The product is irrational. The product is neither rational nor irrational. The nature of the product cannot be determined. The product is rational. Which of the

math
Find two positive numbers such that the sum of the first and twice the second is 100 and their product is a maximum.

Math(Urgent)
Compute the maximum product for two positive numbers x and y with the property that the sum of the first plus five times the second is 5000. 1) Indicate the objective equation 2) Indicate the constraint equation So the objective = f(x)=xy and the

ALGEBRA
which of the following are reasonable answer for the product of two negatives and a positive a. 20** b. 10 c. 20 d. 10 Which statement about the product is true 5.5⋅√5 a. The product is rational b. The product is irrational**** c. The product is

high school (math)
Match the mathematical expression with its translation. 1. the product of two numbers 2. y divided by x 3. six less than a number is y 4. x subtracted from y 5. the sum of two numbers is six 6. x minus y 7. the sum of x and y 8. x divided by y 9. six times

math, integers
The product of two integers is 24. The sum of the two integers is 2. What are the numbers?

math
3. ONLY ONE of these statements about multiplying decimals is true. Please click on the correct statement: * 4 points When multiplying decimals, do not align the decimal points. Multiply the decimals as you would multiply whole numbers. Then count the

calculus
Find two positive numbers that satisfy the given requirements: The product is 147 and the sum of the first number plus three times the second number is minimum

Math
The sum of four consecutive even integers is the same as the least of the integers. Find the integers. I'm not sure how to solve it and put it in an equation!

algerbra 1
Two times the least of three consecutive odd integers exceeds three times the greatest of 15. What are the integers? I need an equation to solve and I have tried but without success can anyone help me?

Physics
How is the attractive electrostatic force between a proton and an electron indicated in Coulomb's law? the sum of the charges indicates a positive force the product of the charges indicates a positive force the product of the charges indicates a negative

Math
2. The sum of the reciprocals of two consecutive positive integers is 17/72. Write an equation that can be used to find the two integers. What are the integers? Steve helped me yesterday and gave me the hint 8+9=17. Then I thought about it and saw 8*9=72,

math
Determine whether the sign of the product or quotient is positive or negative. Part A the quotient of two negative integers A. positive B. negative Part B the product of an integer and its opposite A. positive B. negative

discrete math
Find how many positive integers with exactly four decimal digits, that is, positive integers between 1000 and 9999 inclusive, have the following properties: (a) are divisible by 5 and by 7. (b) have distinct digits. (c) are not divisible by either 5 or 7.

algebra
Five times the smallest of three consecutive odd integers is ten more than twice the longest. Find the integers. The sum of three integers is one hundred twenty three more than the first number. The second number is two more than the first number. the

math
Find two consecutive odd integers such that their product is 39 more than 9 times their sum?

math
Find three consecutive positive even integers such that four times the first decreased by the second is 12 more than twice the third.

Math
If the sum of the five consecutive integers is 80, what is the value of sum of the least of these integers and the median of these integers? Can you explain it?

Math
Find three consecutive odd integers such that four times the middle integer is two more than the sum of the first and third.
Still need help?
You can ask a new question or browse existing questions.