Question 91

Divide 32 into two parts such that the sum of the square of the parts is 674. What is the value of the parts?

Let the first part = $$x$$ and second part = $$(32 - x)$$

According to ques, => $$(x)^2 + (32 - x)^2 = 674$$

=> $$x^2 + (x^2 + 1024 - 64x) = 674$$

=> $$2x^2 - 64x + 1024 - 674 = 0$$

=> $$x^2 - 32x + 175 = 0$$

=> $$x^2 - 25x - 7x + 175 = 0$$

=> $$x(x-25) - 7(x-25) = 0$$

=> $$(x-25)(x-7) = 0$$

=> $$x = 25,7$$

=> Ans - (C)

Create a FREE account and get:

  • Free SSC Study Material - 18000 Questions
  • 230+ SSC previous papers with solutions PDF
  • 100+ SSC Online Tests for Free