Set X contains 10 consecutive integers. Sum of the 5 least numbers of the set is 265. The sum of the four greatest numbers of that set is

10 consecutive integers are:-

$$ x,(x+1),(x+2), (x+3), (x+4),--------(x+9)$$

sum of the 5 least number of the set is 265

   $$\Rightarrow x+(x+1)+(x+2)+(x+3)+(x+4) = 265$$

   $$\Rightarrow 5x+10 = 265$$

  $$\Rightarrow 5x = 255$$

  $$\Rightarrow x = \dfrac{255}{5}$$

  $$\Rightarrow x = 51$$

Therefore, the sum of 4 greatest number of the set will be

  $$\Rightarrow (x+6)+(x+7)+(x+8)+(x+9)$$

  $$\Rightarrow 4x+30$$

 $$\Rightarrow 4\times 51+30$$ 

  $$\Rightarrow 204+30$$

   Hence the sun of the greatest number will be  234