The sum of squares of two consecutive even positive numbers is (1060). What is the larger number?

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Answer and explanation

Correct answer: (24)

Let the consecutive even numbers be (x) and (x+2). From (x^2+(x+2)^2=1060), (x=22), so the larger number is (24).

What is the correct answer to this question?

(24)

Why is this the correct answer?

Let the consecutive even numbers be (x) and (x+2). From (x^2+(x+2)^2=1060), (x=22), so the larger number is (24).

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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