Question

If the sum and the product of two numbers are 8 and 15 respectively, find the sum of their cubes.
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Answer 1

Answer:

$x + y = 8 \\ x \times y = 15$

from equation 1

$x = 8 - y$

putting the value of equation1 in 2

$8 - y \times y = 15$

Answer 2

Answer:

let the two numbers be x&y

therefore, according to situation

x+y=8

x×y=15

x=15/y

put this in second equation

15/y+y=8

15+2y=8

15-8=-2y

7=-2y

7/2=y

similarly,x+7/2=8

x=8-7/2.

x=16/2-7/2

x=9/2

two numbers are 7/2&9/2

Step-by-step explanation:

(7/2)^3+(9/2)^3

343/8+729/8

=1072/8

=134