A) 36
B) 38
C) 34
D) 46
Correct Answer: A
Solution :
Let two positive numbers are x and y. \[\therefore \,\,\,\,x-y=2\] ?.. (i) \[{{x}^{2}}+{{y}^{2}}=650\] ..... (ii) Squaring equation (i) we get \[{{x}^{2}}+{{y}^{2}}-2xy=4\text{ }\Rightarrow 650-2xy=4\] \[\Rightarrow \,\,\,\,-2xy=4-650=-646\] \[\Rightarrow \,\,\,-2xy=646\,\,\,\therefore \,\,\,{{(x+y)}^{2}}={{x}^{2}}+{{y}^{2}}+2xy\] \[=\,\,650+646=1296=x+y=36\] - 2xy = 4 - 650 = - 646 \[\therefore \] Sum of two numbers =36You need to login to perform this action.
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