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The problem states that the number 48 is to be increased in the ratio 2:3. This means that 48 corresponds to the '2' part of the ratio, and we need to find the number corresponding to the '3' part.

Mathematics

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Answer

72\text{72}

Step-by-step solution

3 steps
  1. Set up the given ratio and the equivalent ratio with the known number.

    The problem states that the number 48 is to be increased in the ratio 2:32:3. This means that 48 corresponds to the '2' part of the ratio, and we need to find the number corresponding to the '3' part.
    We can write this as:

    2:3=48:n2:3 = 48:n
  2. Find the scaling factor.

    To find the value of nn, we first determine what factor was used to change 2 into 48.

    Factor=482=24\text{Factor} = \frac{48}{2} = 24
  3. Apply the scaling factor to find the increased number.

    Now, multiply the second part of the ratio (3) by the same factor to find nn.

    n=3×24=72n = 3 \times 24 = 72

    The increased number is 72.

    The increased number is 72\text{72}.

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