SOLUTION: suppose that the sum of two whole numbers is 11 and the sum of their reciprocals is 11/30. find the numbers
Algebra.Com
Question 396055: suppose that the sum of two whole numbers is 11 and the sum of their reciprocals is 11/30. find the numbers
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Suppose that the numbers are x and 11-x. Then,
Taking LCD of the fractions, adding, and simplifying,
x = 6 or x = 5 (these two are equivalent) so 5 and 6 are the numbers.
RELATED QUESTIONS
Suppose that the sum of two whole numbers is 15, and the sum of their reciprocals is... (answered by MathLover1)
Suppose that the sum of two whole numbers is 6, and the sum of their reciprocals is 3/4.... (answered by htmentor)
Suppose that the sum of two whole numbers is 20, and the sum of their reciprocals is... (answered by stanbon)
Suppose that the sum of two whole numbers is 10, and the sum of their reciprocals is 5/8. (answered by unlockmath)
the sum of two numbers is 11, and their product is 30. Find the... (answered by Fombitz,LinnW)
the difference of two numbers is the same as their product, and the sum of their... (answered by josgarithmetic)
Suppose that the sum of two whole numbers is 9 and the sum of their reciprocals is 1/2.... (answered by jim_thompson5910)
the sum of 2 whole numbers is 9 and the sum of their reciprocals is 1/2. find the... (answered by lwsshak3)
The sum of two numbers is 14 and the sum of their reciprocals is 7/24. Find the... (answered by checkley71)