Class 10 Exam > Class 10 Questions > The sum of two number is 34 if 3 is subtracte...
Start Learning for Free
The sum of two number is 34 if 3 is subtracted from one number and 2 is added to another the product of these two numbers become 260 find the numbers?
Most Upvoted Answer
The sum of two number is 34 if 3 is subtracted from one number and 2 i...
Solving the problem step by step:
Step 1: Setting up the equations
Let's assume the two numbers be x and y.
According to the given conditions:
x + y = 34
(x - 3)(y + 2) = 260
Step 2: Solving the equations
We can rewrite the second equation as:
xy + 2x - 3y - 6 = 260
xy + 2x - 3y = 266
Now, we can substitute the value of x from the first equation into the second equation:
(34 - y)y + 2(34 - y) - 3y = 266
34y - y^2 + 68 - 2y - 3y = 266
-y^2 + 29y + 68 = 266
-y^2 + 29y - 198 = 0
Step 3: Find the values of x and y
Now, we need to solve the quadratic equation:
y^2 - 29y + 198 = 0
(y - 11)(y - 18) = 0
y = 11 or y = 18
Step 4: Calculate the numbers
If y = 11, then x = 23
If y = 18, then x = 16
Therefore, the two numbers are 23 and 11 or 16 and 18.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
The sum of two number is 34 if 3 is subtracted from one number and 2 is added to another the product of these two numbers become 260 find the numbers?
Question Description
The sum of two number is 34 if 3 is subtracted from one number and 2 is added to another the product of these two numbers become 260 find the numbers? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The sum of two number is 34 if 3 is subtracted from one number and 2 is added to another the product of these two numbers become 260 find the numbers? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of two number is 34 if 3 is subtracted from one number and 2 is added to another the product of these two numbers become 260 find the numbers?.
The sum of two number is 34 if 3 is subtracted from one number and 2 is added to another the product of these two numbers become 260 find the numbers? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The sum of two number is 34 if 3 is subtracted from one number and 2 is added to another the product of these two numbers become 260 find the numbers? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of two number is 34 if 3 is subtracted from one number and 2 is added to another the product of these two numbers become 260 find the numbers?.
Solutions for The sum of two number is 34 if 3 is subtracted from one number and 2 is added to another the product of these two numbers become 260 find the numbers? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of The sum of two number is 34 if 3 is subtracted from one number and 2 is added to another the product of these two numbers become 260 find the numbers? defined & explained in the simplest way possible. Besides giving the explanation of
The sum of two number is 34 if 3 is subtracted from one number and 2 is added to another the product of these two numbers become 260 find the numbers?, a detailed solution for The sum of two number is 34 if 3 is subtracted from one number and 2 is added to another the product of these two numbers become 260 find the numbers? has been provided alongside types of The sum of two number is 34 if 3 is subtracted from one number and 2 is added to another the product of these two numbers become 260 find the numbers? theory, EduRev gives you an
ample number of questions to practice The sum of two number is 34 if 3 is subtracted from one number and 2 is added to another the product of these two numbers become 260 find the numbers? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup