The sum of two numbers is 24 and their product is 143. The sum of their squares is [SSC (CGL) 2011] |
A) 296
B) 295
C) 290
D) 228
Correct Answer: C
Solution :
Let the numbers be x and y. |
\[\therefore \] \[x+y=24\] |
and \[xy=143\] |
From formula, |
\[{{x}^{2}}+{{y}^{2}}={{(x+y)}^{2}}-2xy\] |
\[={{(24)}^{2}}-2\times 143\] |
\[=576-286\] |
\[=290\] |
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