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?
Answer: 1411, 1079
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
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