Question

When the sum of the reciprocals of two distinct positive integers is divided by the sum of the two integers, the result is $\frac{1}{25}$. What is the sum of the two integers

1. thongdat2
The sum of the two integers is 26.
An integer is a whole number (not a fractional quantity) that can be high quality, negative, or zero. Examples of integers are: -five, 1, five, eight, 97, and three,043. Examples of numbers that aren’t integers are: -1.forty three, 1 three/4, 3.14, 09, and 5,643.1.
A variety of that isn’t a whole range, a negative whole quantity, or 0 is defined as Non-Integer. it is any variety that isn’t blanketed inside the integer set, which is expressed as { … -4, -3, -2, -1, zero, 1, 2, 3, 4 }. Some of the examples of non-integers consist of decimals, fractions, and imaginary numbers.
An integer is colloquially defined as more than a few that can be written without a fractional aspect. For instance, 21, 4, 0, and −2048 are integers, while 9.75, 5+half, and √2 are not.
(1/a  + 1/b) / (a+b) = 1/25
(a+b)/(ab) / (a+b) = 1/25
1/ab = 1/25
This implies that ab  = 25
Since a, and b  appear to be distinct integers, the result would be that either 1*25  = 25 or 25 * 1  = 25.
Either way, their sum is 26.