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The sum of squares of two consecutive even positive numbers is (1924). What is the larger number?

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Answer and explanation

Correct answer: (32)

Let the consecutive even numbers be (x) and (x+2). From (x^2+(x+2)^2=1924), (x=30), so the larger number is (32).

Related tags

Quadratic EquationsEven IntegersSum Of Squares

Frequently asked questions

What is the correct answer to this question?

(32)

Why is this the correct answer?

Let the consecutive even numbers be (x) and (x+2). From (x^2+(x+2)^2=1924), (x=30), so the larger number is (32).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Word Problems and Applications.

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