Question

Prerna got a total of 41 marks in two mathematics tests. If she had got 2 marks more in one test and 3 marks less in the other test, the product of these marks would have got 400. Find the marks she got in the two tests.​

Answer 1

Answer:

First test ,she got 18 and in second test, she got 23 marks.

Step-by-step explanation:

Let her marks in the first test be x and second test be y.

x+y=41

(x+2)(y-3)=xy-3x+2y-6=400

Using the value of x from first equation ,

41y-y^2-123+3y+2y=406

y^2-46y+529=0

(y-23)(y-23)=0

y=23

From first equation, we get x =18.

Therefore,x =18 and y = 21.

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