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Class 10MathematicsQuadratic EquationsWord Problems and ApplicationsEasyLevel 40
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The sum of two numbers is (19) and their product is (90). What is the larger number?

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Answer and explanation

Correct answer: (10)

Putting the numbers as (x) and (19-x), (x(19-x)=90). The solutions are (9) and (10), so the larger number is (10).

Related tags

Quadratic EquationsSum ProductApplication

Frequently asked questions

What is the correct answer to this question?

(10)

Why is this the correct answer?

Putting the numbers as (x) and (19-x), (x(19-x)=90). The solutions are (9) and (10), so the larger number is (10).

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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  1. 1The square of a number is 6 more than 5 times the number. If the number is x, what is the equation?
  2. 2The product of two consecutive positive integers is (72). What is the smaller integer?
  3. 3The product of two consecutive positive integers is (132). What is the larger integer?
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  5. 5A rectangle has breadth (6) m and area (96) square m. If its length is (x) m, which equation is correct?
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  8. 8A number multiplied by its next integer gives (56). What is the number?
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  10. 10The square of a positive number is (45) more than (4) times the number. What is the number?
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