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 of one number is equal to 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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