math

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.

  1. 👍
  2. 👎
  3. 👁
  1. what

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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

  2. Maths help asap please.

    The product of two consecutive positive integers is added to the larger of the two integers. Prove that the result is always a square number. Thank you for your help.

  3. calculus

    find two positive integers such that the sum of the first number and 4 times the second number is 1000 and the product of the numbers is as large as possible

  4. 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

  1. maths

    the sum of N positive integers is 19. what is the maximum possible product of these N numbers? thx. Nice problem. Let's look at some cases 1. N=2 clearly our only logical choices are 9,10 for a product of 90 It should be obvious

  2. Algebra

    The sum of the squares of two consecutive positive even integers is one hundred sixty-four. Find the two integers.

  3. Programming

    Write a function that takes one positive integer value (call it n) as a parameter and produces the sum of the integers between 1 and n. Hint: The sum of the integers from 1 to n is n*(n+1) all over 2 I know this is how the

  4. Algebra

    Need a formula; the product of two consecutive integers is 41 more than their sum. Find the integers.

  1. ALGEBRA.

    The product of 2 positive integers is 1000. What is the smallest possible sum of these 2 integers?

  2. smallest of 3 integers

    The sum of the reciprocals of three consecutive positive integers is equal to 47 divided by the product of the integers. What is the smallest of the three integers?

  3. math

    The product of two consecutive positive integers is 11 more than their sum. What the integers? Please help.

  4. math

    Which statement is true? A.The sum of two positive integers is sometimes positive, sometimes negative. B.The sum of two negative integers is always negative. C.The sum of a positive integer and a negative integer is always

You can view more similar questions or ask a new question.