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?
 👍
 👎
 👁
 ℹ️
 🚩
1 answer

1/(x1) + 1/x + 1/(x+1) = 47/[(x1)x(x+1)]
put all over a common denominator of (x1)x(x+1). The numerators then satisfy
x(x+1) + (x1)(x+1) + (x1)x = 47
3x^2  1 = 47
3x^2 = 48
x = 4
check:
1/3 + 1/4 + 1/5 = 47/60 👍
 👎
 ℹ️
 🚩
answered by Steve
Answer this Question
Related Questions

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,
 asked by Olivia N J
 7,746 views

Math
Find four consecutive odd integers in which the sum makes 0.
 asked by Anonymous
 1,963 views

Homework  Math
The sum of two consecutive even integers is 122. What are the integers?
 asked by Ashleigh Cunningham
 3,531 views

math
find 2 consecutive odd integers such that he sum of the smaller and 3 times the larger is 330
 asked by Anonymous
 835 views

Discrete Math
Theorem: For every integer n, if x and y are positive integers with max(x, y) = n, then x = y. Basic Step: Suppose that n = 1. If max(x, y) = 1 and x and y are positive integers, we have x = 1 and y = 1. Inductive Step: Let k be a positive integer. Assume
 asked by Francesca
 1,696 views

math
Find two consecutive odd integers such that their product is 39 more than 9 times their sum?
 asked by Anonymous
 1,082 views

math
The sum of the reciprocals of two consecutive even integers is 11/60. Find the integers....... 1/n + 1/(n+2) = 11/60 what is the question? the question is, "What is the value of the integers? I will be happy to critique your work. We don't do it for
 asked by Al
 1,392 views

Algebra 2
Find three consecutive odd integers whose sum is less than 20 but greater than 10. I am confused how to answer this.
 asked by Anonymous
 454 views

Math
the product of two consecutive positive even integers is 14 more than their sum .set up an equation that can be used to find the two numbers and solve it
 asked by Maggie
 1,024 views

Math
Find three consecutive even integers such that the sum of the smallest and largest is 36
 asked by J
 1,861 views

trig
find all sets of three consecutive odd integers whose sum is greater than 54 and less than 63
 asked by lindsey
 857 views

Algebra 2
The sum of the reciprocals of two consecutive even integers is 9/40. this can be represented by the equation shown. (1/x)+(1/x+2)=9/40 Use the rational equation to determine the integers. Please help!! I have no idea what to do:(
 asked by Jenn
 6,290 views

ALGEBRA 1!!!! PLS HELP!!!!
find four consecutive even integers such that if the sum of the first and third is multiplied by 3 the result is 44 more than 4 times fourth
 asked by guitarpick03
 725 views

algebra
Find two consecutive even integers such that the sum of the larger and twice the smaller is 62. PLEASE HELP I DON'T GET IT!/:
 asked by desiree
 1,554 views

Math
Two integers are divided and their quotient is a positive number. What must be true about the two integers?
 asked by Jesiah
 423 views

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!
 asked by Ally
 2,157 views

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.
 asked by Anonymous
 2,794 views

Alg 1
The product of two consecutive integers, n and n+1, is 42. What is the positive integer that satisfies the situation? Is it 6 x 7?
 asked by Jane
 2,075 views

Math
If the product of 4 consecutive integers is equal to one of the integers, what is the largest possible value of one of the integers? The answer is 3, but I do not understand how it is 3. I tried writing out 4 consecutive #'s such as 1,2,3,4 or 0,1,2,3. 0 x
 asked by Jenny
 4,454 views

ALG 2 PLZ PLZ HELP
1.)The product of 14 and n is 28. Write the algebraic equation. 2.)Four times a certain number is the same as the number increased by 78 3.)A blue bike is $14 less than a red bike. The sum of their prices is $300. How much is the red bike 4.)Alex is six
 asked by tyneisha
 1,210 views
Still need help?
You can ask a new question or browse existing questions.