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Divide 49 into 2 parts, such that if larger part is increased by 6 and smaller part is decreased by 11, then ratio becomes 9:2?
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Divide 49 into 2 parts, such that if larger part is increased by 6 and...
Problem Statement
Divide 49 into 2 parts, such that if larger part is increased by 6 and smaller part is decreased by 11, then ratio becomes 9:2?
Solution
Let's assume the two parts as x and y. According to the problem statement, we have:
- x + y = 49 -- (1)
- (x+6)/(y-11) = 9/2 -- (2)
Simplifying Equation 2
Cross-multiplying equation 2, we get:
- 2(x+6) = 9(y-11)
- 2x + 12 = 9y - 99
- 2x + 111 = 9y -- (3)
Substituting Equation 1 in Equation 3
Substituting equation 1 in equation 3, we get:
- 2x + 111 = 9(49-x)
- 2x + 111 = 441 - 9x
- 11x = 330
- x = 30
Finding y
Using equation 1, we get:
- y = 49 - x
- y = 49 - 30
- y = 19
Checking the ratio
Now, let's check if the ratio is 9:2:
- (x+6)/(y-11) = (30+6)/(19-11) = 36/8 = 9/2
Conclusion
Therefore, the two parts are 30 and 19. If the larger part is increased by 6 and the smaller part is decreased by 11, then the ratio becomes 9:2.
Community Answer
Divide 49 into 2 parts, such that if larger part is increased by 6 and...
Let larger no. be L ans smaller be S.
according to the Q we will get two equations
1. L + S = 49; &
2.( L + 6 ) / ( S - 11 ) = 9 / 2
SOLVING 1 AND 2 WE GET,
2L+12=9S-99
(PUTTING L= 49- S) ,
2(49-S) - 9S = - 111
98-11S = -111
S= 209/11
S=19
THEREFORE PUTTING S IN EQ 1 WE GET,
L = 30
S= 19
according to the Q we will get two equations
1. L + S = 49; &
2.( L + 6 ) / ( S - 11 ) = 9 / 2
SOLVING 1 AND 2 WE GET,
2L+12=9S-99
(PUTTING L= 49- S) ,
2(49-S) - 9S = - 111
98-11S = -111
S= 209/11
S=19
THEREFORE PUTTING S IN EQ 1 WE GET,
L = 30
S= 19
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Divide 49 into 2 parts, such that if larger part is increased by 6 and smaller part is decreased by 11, then ratio becomes 9:2?
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Divide 49 into 2 parts, such that if larger part is increased by 6 and smaller part is decreased by 11, then ratio becomes 9:2? for B Com 2024 is part of B Com preparation. The Question and answers have been prepared according to the B Com exam syllabus. Information about Divide 49 into 2 parts, such that if larger part is increased by 6 and smaller part is decreased by 11, then ratio becomes 9:2? covers all topics & solutions for B Com 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Divide 49 into 2 parts, such that if larger part is increased by 6 and smaller part is decreased by 11, then ratio becomes 9:2?.
Divide 49 into 2 parts, such that if larger part is increased by 6 and smaller part is decreased by 11, then ratio becomes 9:2? for B Com 2024 is part of B Com preparation. The Question and answers have been prepared according to the B Com exam syllabus. Information about Divide 49 into 2 parts, such that if larger part is increased by 6 and smaller part is decreased by 11, then ratio becomes 9:2? covers all topics & solutions for B Com 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Divide 49 into 2 parts, such that if larger part is increased by 6 and smaller part is decreased by 11, then ratio becomes 9:2?.
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