
We are given:
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HCF = 50
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LCM = 250
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First number Γ· 2 = 50 β So, first number = 50 Γ 2 = 100
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We need to find the second number
π’ Step 1: Use the formula:
Product of two numbers = HCF Γ LCM
So,
100 Γ Second number = 50 Γ 250
β 100 Γ Second number = 12,500
β Second number = 12,500 Γ· 100
β Second number = 125
β
Final Answer:
The second number isβ―125.
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Length of train = 260 meters
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Length of wall = 120 meters
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Time taken to cross the wall = 19 seconds
β
β
Step 1: Total distance to be covered
When the train crosses the wall, it must cover its own length plus the length of the wall:
Total distance = 260 m + 120 m = 380 meters
β
β
Step 2: Use the speed formula
Speed = Distance / Time
Speed = 380 m Γ· 19 s = 20 m/s
β
β
Step 3: Convert speed to km/h
1 m/s = 3.6 km/h
β 20 Γ 3.6 = 72 km/h