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Beti Bacho, Beti Padho (BBBP) is a personal campaign of the Government of India that aims to generate awareness and improve the efficiency of welfare services intended for girls.
In a school, a group of (x + y) teachers, (x2 + y2) girls and (x3 + y3) boys organised a campaign on Beti Bacho, Beti Padho.
(i) How many teachers are there in the group if there are 63 girls ( given xy= 9)?
(ii) How many girls are there in the group if there are 10 teachers and 370 boys?
(iii) How many boys are there in the group if there are 10 teachers and 58 girls?
(iv) What is the value of (x2 - y2) if the number of teaches are 10 (given (x - y) = 23)?
In a school, a group of (x + y) teachers, (x2 + y2) girls and (x3 + y3) boys organised a campaign on Beti Bacho, Beti Padho.
(i) How many teachers are there in the group if there are 63 girls ( given xy= 9)?
(ii) How many girls are there in the group if there are 10 teachers and 370 boys?
(iii) How many boys are there in the group if there are 10 teachers and 58 girls?
(iv) What is the value of (x2 - y2) if the number of teaches are 10 (given (x - y) = 23)?
Most Upvoted Answer
Beti Bacho, Beti Padho (BBBP) is a personal campaign of the Government...
To solve this problem, we will use the given information and algebraic expressions to find the number of teachers, girls, and boys in the group.
Given information:
- Total number of girls in the group = x^2 + y^2 = 63 (given xy = 9)
- Total number of teachers, girls, and boys in the group = (x + y) teachers, (x^2 + y^2) girls, and (x^3 + y^3) boys
(i) Number of teachers in the group:
- Since the total number of girls is 63, we have x^2 + y^2 = 63
- Given that xy = 9, we can find the values of x and y by solving these equations simultaneously
- Solving for x and y, we get x = 3 and y = 3
- Therefore, the number of teachers in the group is (x + y) = 3 + 3 = 6
(ii) Number of girls in the group:
- Total number of teachers = 10
- Total number of boys = 370
- Using the equations (x + y) = 10 and (x^3 + y^3) = 370, we can solve for x and y
- After solving, we get x = 7 and y = 3
- Therefore, the number of girls in the group is x^2 + y^2 = 7^2 + 3^2 = 49 + 9 = 58
(iii) Number of boys in the group:
- Total number of teachers = 10
- Total number of girls = 58
- Using the equations (x + y) = 10 and (x^2 + y^2) = 58, we can solve for x and y
- After solving, we get x = 6 and y = 4
- Therefore, the number of boys in the group is x^3 + y^3 = 6^3 + 4^3 = 216 + 64 = 280
(iv) Value of (x^2 - y^2):
- Total number of teachers = 10
- Given that (x - y) = 23, we can find the values of x and y by solving these equations simultaneously
- Solving for x and y, we get x = 16 and y = -7
- Therefore, the value of (x^2 - y^2) = 16^2 - 7^2 = 256 - 49 = 207.
Given information:
- Total number of girls in the group = x^2 + y^2 = 63 (given xy = 9)
- Total number of teachers, girls, and boys in the group = (x + y) teachers, (x^2 + y^2) girls, and (x^3 + y^3) boys
(i) Number of teachers in the group:
- Since the total number of girls is 63, we have x^2 + y^2 = 63
- Given that xy = 9, we can find the values of x and y by solving these equations simultaneously
- Solving for x and y, we get x = 3 and y = 3
- Therefore, the number of teachers in the group is (x + y) = 3 + 3 = 6
(ii) Number of girls in the group:
- Total number of teachers = 10
- Total number of boys = 370
- Using the equations (x + y) = 10 and (x^3 + y^3) = 370, we can solve for x and y
- After solving, we get x = 7 and y = 3
- Therefore, the number of girls in the group is x^2 + y^2 = 7^2 + 3^2 = 49 + 9 = 58
(iii) Number of boys in the group:
- Total number of teachers = 10
- Total number of girls = 58
- Using the equations (x + y) = 10 and (x^2 + y^2) = 58, we can solve for x and y
- After solving, we get x = 6 and y = 4
- Therefore, the number of boys in the group is x^3 + y^3 = 6^3 + 4^3 = 216 + 64 = 280
(iv) Value of (x^2 - y^2):
- Total number of teachers = 10
- Given that (x - y) = 23, we can find the values of x and y by solving these equations simultaneously
- Solving for x and y, we get x = 16 and y = -7
- Therefore, the value of (x^2 - y^2) = 16^2 - 7^2 = 256 - 49 = 207.
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Beti Bacho, Beti Padho (BBBP) is a personal campaign of the Government of India that aims to generate awareness and improve the efficiency of welfare services intended for girls.In a school, a group of (x + y) teachers, (x2 + y2) girls and (x3 + y3) boys organised a campaign on Beti Bacho, Beti Padho.(i) How many teachers are there in the group if there are 63 girls ( given xy= 9)?(ii) How many girls are there in the group if there are 10 teachers and 370 boys?(iii) How many boys are there in the group if there are 10 teachers and 58 girls?(iv) What is the value of (x2 - y2) if the number of teaches are 10 (given (x - y) = 23)?
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Beti Bacho, Beti Padho (BBBP) is a personal campaign of the Government of India that aims to generate awareness and improve the efficiency of welfare services intended for girls.In a school, a group of (x + y) teachers, (x2 + y2) girls and (x3 + y3) boys organised a campaign on Beti Bacho, Beti Padho.(i) How many teachers are there in the group if there are 63 girls ( given xy= 9)?(ii) How many girls are there in the group if there are 10 teachers and 370 boys?(iii) How many boys are there in the group if there are 10 teachers and 58 girls?(iv) What is the value of (x2 - y2) if the number of teaches are 10 (given (x - y) = 23)? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Beti Bacho, Beti Padho (BBBP) is a personal campaign of the Government of India that aims to generate awareness and improve the efficiency of welfare services intended for girls.In a school, a group of (x + y) teachers, (x2 + y2) girls and (x3 + y3) boys organised a campaign on Beti Bacho, Beti Padho.(i) How many teachers are there in the group if there are 63 girls ( given xy= 9)?(ii) How many girls are there in the group if there are 10 teachers and 370 boys?(iii) How many boys are there in the group if there are 10 teachers and 58 girls?(iv) What is the value of (x2 - y2) if the number of teaches are 10 (given (x - y) = 23)? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Beti Bacho, Beti Padho (BBBP) is a personal campaign of the Government of India that aims to generate awareness and improve the efficiency of welfare services intended for girls.In a school, a group of (x + y) teachers, (x2 + y2) girls and (x3 + y3) boys organised a campaign on Beti Bacho, Beti Padho.(i) How many teachers are there in the group if there are 63 girls ( given xy= 9)?(ii) How many girls are there in the group if there are 10 teachers and 370 boys?(iii) How many boys are there in the group if there are 10 teachers and 58 girls?(iv) What is the value of (x2 - y2) if the number of teaches are 10 (given (x - y) = 23)?.
Beti Bacho, Beti Padho (BBBP) is a personal campaign of the Government of India that aims to generate awareness and improve the efficiency of welfare services intended for girls.In a school, a group of (x + y) teachers, (x2 + y2) girls and (x3 + y3) boys organised a campaign on Beti Bacho, Beti Padho.(i) How many teachers are there in the group if there are 63 girls ( given xy= 9)?(ii) How many girls are there in the group if there are 10 teachers and 370 boys?(iii) How many boys are there in the group if there are 10 teachers and 58 girls?(iv) What is the value of (x2 - y2) if the number of teaches are 10 (given (x - y) = 23)? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Beti Bacho, Beti Padho (BBBP) is a personal campaign of the Government of India that aims to generate awareness and improve the efficiency of welfare services intended for girls.In a school, a group of (x + y) teachers, (x2 + y2) girls and (x3 + y3) boys organised a campaign on Beti Bacho, Beti Padho.(i) How many teachers are there in the group if there are 63 girls ( given xy= 9)?(ii) How many girls are there in the group if there are 10 teachers and 370 boys?(iii) How many boys are there in the group if there are 10 teachers and 58 girls?(iv) What is the value of (x2 - y2) if the number of teaches are 10 (given (x - y) = 23)? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Beti Bacho, Beti Padho (BBBP) is a personal campaign of the Government of India that aims to generate awareness and improve the efficiency of welfare services intended for girls.In a school, a group of (x + y) teachers, (x2 + y2) girls and (x3 + y3) boys organised a campaign on Beti Bacho, Beti Padho.(i) How many teachers are there in the group if there are 63 girls ( given xy= 9)?(ii) How many girls are there in the group if there are 10 teachers and 370 boys?(iii) How many boys are there in the group if there are 10 teachers and 58 girls?(iv) What is the value of (x2 - y2) if the number of teaches are 10 (given (x - y) = 23)?.
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