Q. 42 B4.0( 8 Votes )

In a class test, the sum of Gagan marks in Mathematics and English is 45. If he had 1 more mark in Mathematics and 1 less in English, the product of marks would have been 500. Find the original marks obtained by Gagan in Mathematics and English separately.

Answer :

Let the marks in maths be ‘X’ and English be ‘Y’.


X + Y = 45 equation 1


X = 45 – Y


(X + 1)(Y – 1) = 500


(45 – Y – 1)(Y – 1) = 500


Y2 – 43Y + 456 = 0


By solving this quadratic equation


Y2 – 24Y – 19Y + 456 = 0


Y(Y – 24) – 19(Y – 24) = 0


we get two values of Y


Y1 = 24


Y2 = 19


substitute both this values in equation 1


X1 + 24 = 45


X1 = 45 – 24


= 21


X2 + 19 = 45


X2 = 45 – 19


= 26


the marks in maths is 21, then marks in English is 24 and if the marks in maths is 26, then marks in English is 19.


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