Answer:
The two integers are 2 and 3.
Explanation:
Let the larger positive integer be 'x'.
Now given:
A positive integer is 1 less than another.
So Smaller integer will be =
We need to find the two integers.
Solution:
Now given:
If the sum of the reciprocal of the smaller and twice the reciprocal of the larger is
So we can say that;
Now we will make the denominator common using LCM.
Now denominator are common so we will solve the numerator;
Using cross multiplication we get;
Now we will find the roots of the equation we get;
Now we will solve separately to find the value of x we get;
Now we get 2 values 1 in fraction and 1 integer but given the two numbers are positive integer hence we will discard the fraction value we get;
Larger number =
Smaller number =
Hence the two integers are 2 and 3.