The sum of two numbers is 2490. If 6.5% of one number is equal to 8.5% of the other, then the numbers are?

Explanation
Let the two numbers be x and y. Given: x + y = 2490 ... (Equation 1) Also, 6.5% of x = 8.5% of y To simplify, convert percentages to decimals : 0.065x = 0.085y Now, divide both sides by 0.065: x = (0.085/0.065)y x = (85/65)y x = (17/13)y ... (Equation 2) Now, substitute Equation 2 into Equation 1: (17/13)y + y = 2490 Combine like terms: (30/13)y = 2490 Multiply both sides by 13/30: y = 1079 Now that we have found y, we can find x: x = 2490 - y (from Equation 1) x = 2490 - 1079 x = 1411 So, the correct answer is: 1411, 1079