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A present age is (x) years. The product of the age after (10) years and the age (10) years ago is (1500). What is the present age?

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Answer and explanation

Correct answer: (40) years

((x+10)(x-10)=1500) gives (x^2-100=1500), so (x=40). The difference of squares idea helps in such questions.

Related tags

Quadratic EquationsAge ProblemDifference Of Squares

Frequently asked questions

What is the correct answer to this question?

(40) years

Why is this the correct answer?

((x+10)(x-10)=1500) gives (x^2-100=1500), so (x=40). The difference of squares idea helps in such questions.

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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