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
$=x+y$ 
$=35+45$ 
$=80$ 

Post a Comment

If you have any question, please let me know by comment or email. Also, if you want answers of any mathematical problem, please comment me the question. I will post the answer as early as possible.

Previous Post Next Post