The product of two numbers is 9375 and the quotient, when

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The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is :

Let the numbers be p and q and p is greater than q.
As given,
The product of two numbers = 9375
pq = 9375 .......(i)
Again,

p	= 15
q

⇒ p = 15q
∴ From equation (i),
15q × q = 9375

⇒ q² =	9375	= 625
	15

⇒ q = √625 = 25
∴ p = 15y = 15 × 25 = 375
∴ p + q = 375 + 25 = 400
Hence , The sum of the numbers is 400 .