SSC CPO 2022 PYQ — Question 132

The correct answer is option 3 i.e. 2 and 4

The given system of is:-

6x + 7y = 5xy

10y – 4x = 4xy

Taking xy on the L.H.S of the equation in both the equations.

Thus,

⇒ $7\over x$ + $6\over y$ = 5
⇒ $10\over x$ - $4\over y$ = 4

Let us take 1/x = u and 1/y = v

Thus,

⇒ 7u + 6v = 5

⇒10u - 4v = 4

After solving the pair of equations we get:

⇒ u = 1/2

⇒ v = 1/4

Thus, equating this with their original values

⇒ $1\over x$ = u =  $1\over 2$   ,  $1\over y$ = v =  $1\over 4$ 

Thus, 

x=2, y=4

Thus, 2 and 4 are the Numbers.