Ashish has three boxes A, B and C. Box B weighs 3 1/2 kg more than box A and box C weighs 5 1/3 kg more than box B. If total weight of the boxes is 60 1/2 kg , find the weight of each box.
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The given details are total weight of three boxes is 60 ½ kg = 121/2 kg Let the weight of box A be x kg Weight of box B be x + 7/2 kg Weight of box C be x + 7/2 + 16/3 kg So, x + x + 7/2 + x + 77/2 + 16/3 = 121/2 3x = 121/2 – 7/2 – 7/2 – 16/3 By taking LCM for 2 and 3 is 6 3x = (363 – 21 – 21 – 32)/6 3x = 289/6 x = 289/18 ∴ The weight of box A is 289/18 kg.
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Answer:
Step-by-step explanation:
Let the weight of box A be x kg
Weight of box B be x + 7/2 kg
Weight of box C be x + 7/2 + 16/3 kg
So, x + x + 7/2 + x + 77/2 + 16/3 = 121/2
3x = 121/2 – 7/2 – 7/2 – 16/3
By taking LCM for 2 and 3 is 6
3x = (363 – 21 – 21 – 32)/6 3x = 289/6 x = 289/18
∴ The weight of box A is 289/18 kg.
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