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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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