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Divide ₹784 into four parts such that 4 times the first part, three times the second part, twice the third part are each equal to twelve times the fourth part?
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Divide ₹784 into four parts such that 4 times the first part, three ti...
Problem: Divide ₹784 into four parts such that 4 times the first part, three times the second part, twice the third part are each equal to twelve times the fourth part.
Solution:
Let the four parts be a, b, c and d.
Hence, a + b + c + d = 784 … (1)
Given, 4a = 12d
=> a = 3d … (2)
Also, 3b = 12d
=> b = 4d … (3)
And, 2c = 12d
=> c = 6d … (4)
Substituting (2), (3) and (4) in (1), we get:
3d + 4d + 6d + d = 784
=> 14d = 784
=> d = 56
Therefore, a = 3d = 3 × 56 = 168
b = 4d = 4 × 56 = 224
c = 6d = 6 × 56 = 336
Hence, the four parts are 168, 224, 336 and 56.
Answer: The four parts are 168, 224, 336 and 56.
Solution:
Let the four parts be a, b, c and d.
Hence, a + b + c + d = 784 … (1)
Given, 4a = 12d
=> a = 3d … (2)
Also, 3b = 12d
=> b = 4d … (3)
And, 2c = 12d
=> c = 6d … (4)
Substituting (2), (3) and (4) in (1), we get:
3d + 4d + 6d + d = 784
=> 14d = 784
=> d = 56
Therefore, a = 3d = 3 × 56 = 168
b = 4d = 4 × 56 = 224
c = 6d = 6 × 56 = 336
Hence, the four parts are 168, 224, 336 and 56.
Answer: The four parts are 168, 224, 336 and 56.
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Divide ₹784 into four parts such that 4 times the first part, three times the second part, twice the third part are each equal to twelve times the fourth part?
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Divide ₹784 into four parts such that 4 times the first part, three times the second part, twice the third part are each equal to twelve times the fourth part? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Divide ₹784 into four parts such that 4 times the first part, three times the second part, twice the third part are each equal to twelve times the fourth part? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Divide ₹784 into four parts such that 4 times the first part, three times the second part, twice the third part are each equal to twelve times the fourth part?.
Divide ₹784 into four parts such that 4 times the first part, three times the second part, twice the third part are each equal to twelve times the fourth part? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Divide ₹784 into four parts such that 4 times the first part, three times the second part, twice the third part are each equal to twelve times the fourth part? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Divide ₹784 into four parts such that 4 times the first part, three times the second part, twice the third part are each equal to twelve times the fourth part?.
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