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The sum of two numbers is 4500.if 10% of one numbers is 12.5% of others. find the numbers.

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1 Answer

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Let the two numbers are x and y. 

 According to the question, 10% of one number is 12.5% of the other.  

So, 10% of x =12.5% of y 

1/10 of x=125/1000 of y 

1/10 of x=1/8 of y 

x=1/8÷1/10of y 

x=1/8×10of y 

x=10/8=5/4 of y

 Now, x+y=4500 

5/4 of y+y=4500 

( 5/4+1)of y=4500 

9/4 of y=4500 

y=4500×4/9=500×4=2000 

x=5/4 of y=5/4×2000=2500 

Hence,the two numbers are 2000 & 2500. 

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