1.

5.There are two numbers such that sum of the numbers is 50 and the difference is 14 . Find the difference of their cubes.

Answer»

Step-by-step EXPLANATION:

Let the no. be x and y

x+ y= 50. (1)

x-y= 14

x=14+y. (2)

put 2 in 1

14+y+y= 50

14+2y= 50

2y= 36

y= 18

x+y=50

x+ 18= 50

x= 32

a3-b3= (a-b) (a2+b2+ab)

= (32-18)[(18)^2 +(32)^2 + (32)(18)]

= 14[ 324 +1024 + 576]

= 14(1924)

= 26936

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