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The sum of two numbers is 4500. If 10% of one number is 12.5% of the other, find the numbers.

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#### Solution

Let the first number = x

and the second number = y

According to question,

x + y = 4500 …(i)

and 10% x = 12.5% y

i.e. 10x = 12.5y

x = `12.5/10`y ...(ii)

Substitute the value of x in equation (i),

`12.5/10`y + y = 45000

12.5y + 10y = 45000

22.5y = 45000

y = `45000/22.5 = 2000`

Now, put the value of y in equation (ii)

x = `12.5/10 xx 2000`

x = 2500

Hence, the numbers are 2500 and 2000

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