Let the marks obtained by Ramesh in Mathematics be 'R' and the marks obtained by Suresh be 'S'.
Given information:
Suresh scored 15 marks more than Ramesh in Mathematics: S = R + 15.
The sum of their marks in Mathematics is 275: R + S = 275.
We can form two equations based on the given information:
Equation 1: S = R + 15
Equation 2: R + S = 275
Substitute S = R + 15 into Equation 2:
R + (R + 15) = 275
Combine like terms:
2R + 15 = 275
Subtract 15 from both sides of the equation:
2R = 275 - 15
Simplify:
2R = 260
Divide both sides of the equation by 2:
R = 260 / 2
Simplify:
R = 130
Substitute R = 130 into Equation 1 to find Suresh's marks:
S = R + 15 = 130 + 15 = 145
Therefore, Ramesh obtained 130 marks in Mathematics, and Suresh obtained 145 marks in Mathematics.
