SOLUTION: May you please help me with this question? two consecutive integers are represented by n and n+2 the sum of the reciprocals of the integers is 29/420. find the integers. Steps

Question 1011506: May you please help me with this question? two consecutive integers are represented by n and n+2 the sum of the reciprocals of the integers is 29/420. find the integers.
Steps and Answers Please...
Found 2 solutions by MathLover1, josgarithmetic:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

and the sum of the reciprocals of the integers is
for integer reciprocal is
for integer reciprocal is
if the sum of the reciprocals is , we have
........solve for

...cross multiply

...factor

solutions:
if =>
if =>-> since we need an integer, disregard this solution
so, your integers are: and
their reciprocals are: and
check their sum: ....since , we have

Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
CONSECUTIVE Integers are n and n+1.
n and n+2 are NOT consecutive integers.
We not know yet if n is odd or is even. If n odd, then n and n+2 are two consecutive odd integers; and if n is even, then n and n+2 are two consecutive even integers. What YOU have is not yet clear.

Trying your number and expression,

Do the algebra and find quadratic
and use of general solution for quadratic equation,

...... The PLUS form will be .

Your two integers, which are NOT consecutive are then 28 and 30.
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