1.

The product of two numbers is 1296. If one number is 16 times the other, find the two numbers?

Answer»

Given that the product of two numbers = 1296. 

Let the second number = x say

Then first number = 16 × x = 16x 

∴ The product of two numbers 

= x × 16x= 16x2

According to the sum 

16x2 = 1296

⇒ x2\(\frac{1296}{16}\) = 81

 ⇒ x2 = 81 

⇒ x = \(\sqrt{81}\)\(\sqrt{9\,\times\,9}\) =  9 

⇒ x = 9 

∴ The first number = 16x 

= 16 × 9 =144 

The second number 

= x = 9



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