Answer:
He got 12 marks in mathematics and 16 in science.
Explanation:
M + S = 28, (M + 3)(S - 4) = 180.
(M + 3)(S - 4) = MS - 4M + 3S - 12 = 180
MS - 4M + 3S - 12 = 180
MS - 4M + 3S = 192
M + S = 28
S = 28 - M
M(28 - M) - 4M + 3(28 - M) = 192
28M -
- 4M + 84 - 3M = 192
-
+ 21M = 108
-
+ 21M - 108 = 0
(-M + 9)(M - 12) = 0
M = -9, 12
S = 37, 16
1st solution:
(-9 + 3)(37 - 4) = 180
-6 * 33 = 180
-198 = 180
2nd solution:
(12 + 3)(16 - 4) = 180
15 * 12 = 180
180 = 180
Therefore, M = 12 and S = 16.