Discussion

Explanation:

In such cases we divided the coefficient of the variable with corresponding power and write the sum in following way.

2x +3y = x + x + y + y + y

Now we have five terms, x, x, y, y and y.

We know, AM ≥ GM [equality occurs when the numbers are equal]

x+x+y+y+y5 ≥ x×x×y×y×y5

⇒ 2x + 3y ≥ 5 × x2×y35

⇒ 2x + 3y ≥ 5 × 325

⇒ 2x + 3y ≥ 10

∴ Least possible value of (2x + 3y) is 10. [This happen when x = x = y = y = y = 2]

Hence, option (c).

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