The sum of two numbers is 5040. If 10% of one number is equal to 8% of the other, find the numbers.
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Solution :
Let one number be x and other number be y.
Then, 10% x = 8% y
x/10 = 2y/25
5x - 4y = 0 --> ( i )
Also, x + y = 5040
x = 5040 - y
Putting in (i), 9y = 25200
y = 2800
Now, x = 5040 - 2800
x = 2240
Numbers are 2240 and 2800.
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