Question 147019
A)
Let one number be x
and the other number be y
We know that y = 3x
Reciprocal of x = 1/x
Reciprocal of y = 1/y
Sum of reciprocal = 1/6

So, we have
1/x + 1/y = 1/6
Now substituting 3x in place of y we get :
1/x+1/3x = 1/6
(3+1)/3x = 1/6
4/3x = 1/6
4X6=1X3x
24=3x
x=24/3
x=8
y=3x=3X 8 =24
Answer: The two numbers are 8 and 24.

B)  
Let us assume the number to be x.  We can write the information given in the question as the following equation :
1x/3 - 3x/4 = 15
(4x-9x)/12 = 15
-5x/12 = 15
-5x = 15 X 12
-5x = 180
x = 180/-5
x = -36
Answer: The number is -36
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