If the sum and the product of two numbers are 8 and 15 respectively, find the sum of
their cubes.​

2 thoughts on “If the sum and the product of two numbers are 8 and 15 respectively, find the sum of<br />their cubes.​”

1. ma thek hu ap btao

   kya kar rahe ho

   Please mark me as brainlist

   # ItzYourQueen01

   Reply

2. Answer :

   • 152 is the sum of their cubes

   Given :

   • The sum and the product of two numbers are 8 and 15

   To find :

   • The sum of their cubes

   Solution :

   • Let the two number be x and y

   》Sum of numbers = 8

   》x + y = 8

   》x = 8 – y

   》Product of numbers are 15

   》xy = 15

   》y = 15/x

   Now ,

   》8 – x = 15/x

   》x(8 – x) = 15

   》-(x)² + 8x = 15

   》-(x)² – 8x – 15 = 0

   》((-x)² – 8x – 15)) = 0

   》-(x – 3) (x – 5) = 0

   》x – 3 and x – 5

   》x = 3 and x = 5

   • If x = 3 then y = 5
   • If x = 5 then x = 3

   Now , we need to find the sum of their cubes :

   》(x)³ + (y)³

   》(3)³ + (5)³

   》27 + 75

   》152

   Hence,152 is the sum of their cubes

   Verification :

   》x + y = 8

   》3 + 5 = 8

   》8 = 8

   Hence Verified

   Reply