Class 11 Exam > Class 11 Questions > Three numbers whose sum is15 are in A.p .If 1...
Start Learning for Free
Three numbers whose sum is15 are in A.p .If 1,4,19 be added to them respectively the resulting numbers are in.G.p . find the numbers.?
Most Upvoted Answer
Three numbers whose sum is15 are in A.p .If 1,4,19 be added to them re...
Community Answer
Three numbers whose sum is15 are in A.p .If 1,4,19 be added to them re...
Given Information:
Three numbers whose sum is 15 are in A.P.
Let the numbers be:
a - d, a, a + d
Sum of the three numbers:
a - d + a + a + d = 15
3a = 15
a = 5
Therefore, the three numbers are 5 - d, 5, 5 + d.
Numbers after adding 1, 4, and 19 respectively:
5 - d + 1, 5 + 4, 5 + d + 19
6 - d, 9, 24 + d
Given that the resulting numbers are in G.P:
(6 - d) * 24 + d = 9^2
144 - 24d + 24d - d^2 = 81
d^2 = 63
d = ±√63
Therefore, the numbers in A.P are 5 - √63, 5, 5 + √63.
Three numbers whose sum is 15 are in A.P.
Let the numbers be:
a - d, a, a + d
Sum of the three numbers:
a - d + a + a + d = 15
3a = 15
a = 5
Therefore, the three numbers are 5 - d, 5, 5 + d.
Numbers after adding 1, 4, and 19 respectively:
5 - d + 1, 5 + 4, 5 + d + 19
6 - d, 9, 24 + d
Given that the resulting numbers are in G.P:
(6 - d) * 24 + d = 9^2
144 - 24d + 24d - d^2 = 81
d^2 = 63
d = ±√63
Therefore, the numbers in A.P are 5 - √63, 5, 5 + √63.
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
Three numbers whose sum is15 are in A.p .If 1,4,19 be added to them respectively the resulting numbers are in.G.p . find the numbers.?
Question Description
Three numbers whose sum is15 are in A.p .If 1,4,19 be added to them respectively the resulting numbers are in.G.p . find the numbers.? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Three numbers whose sum is15 are in A.p .If 1,4,19 be added to them respectively the resulting numbers are in.G.p . find the numbers.? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three numbers whose sum is15 are in A.p .If 1,4,19 be added to them respectively the resulting numbers are in.G.p . find the numbers.?.
Three numbers whose sum is15 are in A.p .If 1,4,19 be added to them respectively the resulting numbers are in.G.p . find the numbers.? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Three numbers whose sum is15 are in A.p .If 1,4,19 be added to them respectively the resulting numbers are in.G.p . find the numbers.? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three numbers whose sum is15 are in A.p .If 1,4,19 be added to them respectively the resulting numbers are in.G.p . find the numbers.?.
Solutions for Three numbers whose sum is15 are in A.p .If 1,4,19 be added to them respectively the resulting numbers are in.G.p . find the numbers.? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of Three numbers whose sum is15 are in A.p .If 1,4,19 be added to them respectively the resulting numbers are in.G.p . find the numbers.? defined & explained in the simplest way possible. Besides giving the explanation of
Three numbers whose sum is15 are in A.p .If 1,4,19 be added to them respectively the resulting numbers are in.G.p . find the numbers.?, a detailed solution for Three numbers whose sum is15 are in A.p .If 1,4,19 be added to them respectively the resulting numbers are in.G.p . find the numbers.? has been provided alongside types of Three numbers whose sum is15 are in A.p .If 1,4,19 be added to them respectively the resulting numbers are in.G.p . find the numbers.? theory, EduRev gives you an
ample number of questions to practice Three numbers whose sum is15 are in A.p .If 1,4,19 be added to them respectively the resulting numbers are in.G.p . find the numbers.? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
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