Question : The product of two numbers is 24 times the difference between these two numbers. If the sum of these numbers is 14, the larger number is:
Option 1: 9
Option 2: 8
Option 3: 7
Option 4: 10

Question

Question : The product of two numbers is 24 times the difference between these two numbers. If the sum of these numbers is 14, the larger number is:

Option 1: 9

Option 2: 8

Option 3: 7

Option 4: 10

Team Careers360 · Accepted Answer

Correct Answer: 8

Solution : Let the first number be $a$.
So, second number $=(14-a)$
Product of two numbers = 24 × difference of two numbers
$a(14-a) = 24(a-14+a)$
⇒ $14a-a^{2} = 48a-336$
⇒ $a^{2}+34a-336=0$
⇒ $a^{2}+42a-8a-336=0$
⇒ $a(a+42)-8(a+42)=0$
⇒ $(a+42)(a-8)=0$
Since $a$ cannot be negative, $a=8$
So, second number = (14 – 8) = 6
So, the larger number is 8.
Hence, the correct answer is 8.

Exams

Colleges

Predictors

Resources

Quick links

Exams

Colleges & Courses

Predictors

Resources

Exams

Colleges

Predictors & E-Books

Resources

Engineering Preparation

Medical Preparation

Law Preparation

MBA Preparation

Exams

Colleges

Resources

Exams

Colleges

Predictors & Articles

Resources

Exams

Colleges

Predictors

Resources

Exams

Colleges

Upcoming Events

Resources

Exams

Colleges

Resources

Quick Links

Top Streams

Specializations

Resources

Top Providers

Exams

Colleges

Resources

Diploma Colleges

Exams

Colleges

Resources

Exams

Resources

Top Courses & Careers

Colleges

Exams

Upcoming Events

Resources

Other Exams

Exams

Colleges

Top Countries

Resources

Exams

Top Schools

Products & Resources

NCERT Study Material

Question : The product of two numbers is 24 times the difference between these two numbers. If the sum of these numbers is 14, the larger number is:Option 1: 9Option 2: 8Option 3: 7Option 4: 10

Related Questions

Know More about

Upcoming Exams

Trending Articles around SSC CPO

Download the Careers360 App on your Android phone

Sign In/Sign Up

Question : The product of two numbers is 24 times the difference between these two numbers. If the sum of these numbers is 14, the larger number is:
Option 1: 9
Option 2: 8
Option 3: 7
Option 4: 10