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babunello [35]
2 years ago
9

5 small containers of capacity 16, 72, 12, 24 and 56 Litres are to be used to fill a bigger container. What is the capacity of t

he bigger container which can be filled by each of the above containers exactly without leaving a remainder when used seperately?
Mathematics
1 answer:
PIT_PIT [208]2 years ago
6 0

Answer: 1008

Step-by-step explanation:

Given

5 small containers of capacity 16,72,12,24, and 56 litres is required to fill a big container.

The volume of big container is the LCM of the 5 given containers

LCM(16,72,12,24,56)=1008

Therefore, the capacity of the bigger container is 1008 litres.

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Step-by-step explanation:

Let the least even number be denoted by x. The sum of the four consecutive even numbers would be:

(x) + (x + 2) + (x + 4) (x + 6) = 256

First, simplify. Combine all like terms:

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Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 12 from both sides of the equation:

4x + 12 (-12) = 256 (-12)

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4x = 144

Next, divide 4 from both sides of the equation:

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x = 61

61 is your first number. Find the next 3 consecutive numbers:

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(4x − 8)(4x + 8)

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