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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.?
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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.
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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.?
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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.?.
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