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The sum of the squares of two consecutive odd numbers is 394. Find the product of two

numbers.

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185

190

195

200

answer is C.

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Detailed Solution

Concep- The difference between the odd consecutive numbers would be two. To make calculations easier, first assume two numbers that depend on each other, such as

which depends on

. Then, using the given condition, determine the variable's value. Then we need to multiply two numbers.
Consider the two consecutive odd number as

and

.
According to the question,

By perfect square formula,

Adding like terms,

Divide both sides by 2,

Rewrite the terms as,

Factor out the common term,

Hence, the correct answer is option 3.

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