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?
Question
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?
Solution
Sure, let's solve this step by step.
Let's denote the two numbers as A and B.
From the problem, we know that:
A + B = 2490 (equation 1)
And also,
6.5% of A = 8.5% of B, which can be written as:
0.065A = 0.085B (equation 2)
We can rearrange equation 2 to isolate A:
A = 0.085B / 0.065 = 1.3077B
Now we can substitute A in equation 1:
1.3077B + B = 2490
This simplifies to:
2.3077B = 2490
Solving for B, we get:
B = 2490 / 2.3077 = 1078.9 (approximately)
Substituting B in equation 1, we get:
A = 2490 - 1078.9 = 1411.1 (approximately)
So, the two numbers are approximately 1078.9 and 1411.1.
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