A and b are 2 numbers whose arithmetic mean is 25 and geometric mean is 7... Which of the following may be the value of A?


10
25
49
25

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I tried the method like
A+B/2 = 25,
so A+B= 50


sqrt(AB)= 7

So AB=49

(A+B)^2= A^2 + B^2 + 2AB= A^2 + B^2 + 98 = 2500

Can't Understand what to do next to find the value of A?

If AB=49, then A = 49/B.

You also know that A+B=50, so substitute the value for A from above to get (49/B)+B=50. Now if you multiply through both sides by B you will get a quadratic equation that you can factor. Try it and see - let us know what you get for an answer.