Question

the sum of the cubes of two consecutive natural numbers is 3059. the numbers are- (a)13,18 (b)12,21 (c)14,15 (d)12,11​

Answer 1

cube means multiplying the number by itself three times.

in this question we will simply check that in what option if we cube its values and then add them up then it will result to 3059 or not

FOR OPTION A

(13)^3+(18^3)

2197+5832

=8029 and this is not equal ti 3059 so option A can't be the answer.

FOR OPTION B

(12)^3+(21)^3

1728+9261

=10989 which is not equal to 3059 so this is also the wrong option.

FOR OPTION C

(14)^3+(15)^3

2744×3375

= 6119 which is not equal to 3059 and is also not the correct option

so the left over option is D so it will be the answer

12^3+11^3

1728+1331

=3059 so this is the correct option