The sum of two numbers is 25 and their product is 156. What is the larger number?
Answer and explanation
Correct answer: 13
Let one number be x; then the other is 25 − x. Thus, x(25 − x) = 156, giving x² − 25x + 156 = 0. Factoring it as (x − 12)(x − 13) = 0 gives the two numbers 12 and 13. Therefore, the larger number is 13. Exam tip: When the sum and product are given, form the corresponding quadratic equation and find its roots.
Frequently asked questions
What is the correct answer to this question?
13
Why is this the correct answer?
Let one number be x; then the other is 25 − x. Thus, x(25 − x) = 156, giving x² − 25x + 156 = 0. Factoring it as (x − 12)(x − 13) = 0 gives the two numbers 12 and 13. Therefore, the larger number is 13. Exam tip: When the sum and product are given, form the corresponding quadratic equation and find its roots.
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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