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The sum of two numbers is 2490.If 6.5%of one number is equal to 8.5% of the other.find the number?
Most Upvoted Answer
The sum of two numbers is 2490.If 6.5%of one number is equal to 8.5% o...
Let numbers be x, y
x + y = 2490
y = 2490 - x

x (6.5/100) = (2490 - x ) 8.5 /100
0.065x = (2490 x 0.085) - 0.085x
0.065x + 0.085x = 2490 x 0.085
0.15x = 2490 x 0.085
x = (2490 x 0.085)/0.15
x = 1411
y = 2490 - 1411
= 1079

the numbers are 1411, 1079
Community Answer
The sum of two numbers is 2490.If 6.5%of one number is equal to 8.5% o...

Sum of Two Numbers

The sum of two numbers is given as 2490. Let's assume the two numbers are x and y, such that x + y = 2490.

Percentage Calculations

Given that 6.5% of one number is equal to 8.5% of the other number, we can set up the following equations:

0.065x = 0.085y
x = 0.085/0.065 * y
x = 1.3077y

Solving for the Numbers

Substitute the value of x from the second equation into the sum of two numbers equation:
1.3077y + y = 2490
2.3077y = 2490
y = 1080

Now, substitute the value of y back into the equation x = 1.3077y:
x = 1.3077 * 1080
x = 1410

Therefore, the two numbers are 1080 and 1410.
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The sum of two numbers is 2490.If 6.5%of one number is equal to 8.5% of the other.find the number?
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