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The product of 2 numbers is 1575 and their quotient is $frac{9}{7}$. Then the sum of the numbers is

The product of 2 numbers is 1575 and their quotient is 9/7. Then the sum of the numbers is

Question:

The product of 2 numbers is 1575 and their quotient is $frac{9}{7}$. Then the sum of the numbers is

a.   74

b.   78

c.   80

d.   90

Answer:

Let the numbers be x and y.
$therefore xy=1575$ and $frac{x}{y}=frac{9}{7}$ 
$therefore frac{xy}{(frac{x}{y})}=frac{1575}{(frac{9}{7})}$ 
$therefore y^2=1225$ 
$therefore y=35$ 
Hence, $x=45$ 
So, sum of the numbers
$=x+y$ 
$=35+45$ 
$=80$ 
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