Question

7). A 3digit number ab 7 =a^3+b^3+7^3 then a=? and b=?​

Answer 1

Answer:

Hey Mate ✌

Here's your answer,

Given : (a - b) = 7 ..............(1)

a³ - b³ = 133 .......................(2)

==> LHS = a³ - b³

==> a³ - b³ = ( a - b)( a² + ab + b²)

==> 133 = (a - b)( a² + ab + b²) ......from (2)

==> 133 = (7)(a² + ab + b²) ............from (1)

==> 133 / 7 = a² + ab + b²

==> 19 = a² + ab + b²

==> a² + ab + b² = 19

is the required answer ^_^