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(x+y)+3
The sum of x and y decreased by their product is (x + y)- xy.
Suppose the numbers are x and y. The sum of their reciprocals = 1/x + 1/y = y/xy + x/xy = (y+x)/xy = (x+y)/xy = 10/30 = 1/3
Suppose the two numbers are x and y. Then, the sum of THEIR reciprocals is 1/x + 1/y = y/xy + x/xy = (y + x)/xy = 7/25
This is a good exercise in building and solving a set of equations. Let X and Y be the two numbers. Then you are told their sum is 36, so write; X + Y = 36 Then you are told their difference is 24, so write; X - Y = 24 Now elliminate Y by adding the two equations; 2X = 60 and X = 30 . Now you can find Y by substituting this answer into either of the two original equations to get Y = 6.