Problems based on Numbers Test 4

Question : 12 of 40

Marks: +1, -0

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

Solution:

Let the two numbers are x and y; then
xy = 9375 ...(i)

x/y = 15

⇒x = 15y

...(ii)
Now from equations (i) and (ii), we get
15y × y = 9375

⇒ y^2 = 9375/15

⇒ y =√ 625 = 25

Then, x = 15 × 25 = 375
Hence, x + y = 375 + 25 = 400

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