The product of two numbers is 1575 and their | vedclass

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Question

(C) Let the two numbers be $a$ and $b$.Given that the product of the numbers is $ab = 1575$ and their quotient is $\frac{a}{b} = \frac{9}{7}$.Multiply

Vedclass · Accepted Answer

$80$

Vedclass · Answer

(C) Let the two numbers be $a$ and $b$.Given that the product of the numbers is $ab = 1575$ and their quotient is $\frac{a}{b} = \frac{9}{7}$.Multiplying the two equations: $(ab) 	imes (\frac{a}{b}) = 1575 	imes \frac{9}{7}$.This simplifies to $a^2 = 225 	imes 9 = 2025$.Taking the square root,$a = \sqrt{2025} = 45$.Now,substitute $a = 45$ into the quotient equation: $\frac{45}{b} = \frac{9}{7}$.Solving for $b$: $b = \frac{45 	imes 7}{9} = 5 	imes 7 = 35$.The sum of the numbers is $a + b = 45 + 35 = 80$.

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

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