Question

The product of two positive numbers is equal to 2 and their difference is equal to 7/2. Find the two numbers.

Answer 1

Answer:

4 and 1/2

Step-by-step explanation:

let the nos be x and y

xy=2

y=2/x ..eq 1

x-y =7/2 ...eq 2

putting eq 1 in eq 2

x- 2/x = 7/2

2(X2 - 2)=7x

2

2x - 7x -4 =0

2

2x - 8x+x - 4 =0

(x-4)(2x+1)=0

since x can't be negative as per the question

so x=4.

and 2/x=y

2/4= 1/2 =y.