The solution for the given equation X^3 + Y^2 = 971,028. So, option A is correct.
<h3>What are multiples?</h3>
A multiple of a number is the number whose remainder is 0 when divided by the given number.
Consider 'a' as the multiple of a number 'n'.
Then, a ÷ n = b (and remainder = 0)
<h3>Calculation:</h3>
It is given that,
X = largest 2-digit multiple of 3 which is not a multiple of 5
⇒ X = 99
Y = smallest 2-digit multiple of 9 which is not a multiple of 6
⇒ Y = 27
Then, substituting the values in the given equation,
= X^3 + Y^2
= (99)³ + (27)²
= 970,299 + 729
= 971,028
Therefore, the value of the given equation is 971,028.
Learn more about multiples of a number here:
brainly.com/question/784558
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