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A is 2 yr younger than B and B is 3 yr younger than C. What is the age of A, B, C? 2. If the total age of A, B, C is 72 yr, what is the age of each. For the given question 1, answer the question 2.

Mathematics

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  • Initially, there is enough food for 18 people for 10 days.
  • After 2 days, 6 people leave.
  1. Determine the initial conditions and changes.

    Initial number of people (P1P_1) = 18
    Initial duration of food (D1D_1) = 10 days
    Days passed (DpD_p) = 2 days
    Number of people who left (PLP_L) = 6

  2. Calculate the decrease in the number of people.

    This directly answers part (a).
    The decrease in the number of people is the number of people who left.

    Decrease in people=PL=6 people\text{Decrease in people} = P_L = 6 \text{ people}

    a) The decrease in the number of people is 6 people\boxed{\text{6 people}}.

  3. Calculate the remaining number of people.

    After 6 people left, the number of remaining people (P2P_2) is:

    P2=P1−PL=18−6=12 peopleP_2 = P_1 - P_L = 18 - 6 = 12 \text{ people}
  4. Calculate the total food for the remaining 7 days.

    Part (b) asks for the total food for the remaining 7 days. This refers to the amount of food (in person-days) that the remaining 12 people would consume over a period of 7 days.

    Food for 7 days=P2×7 days=12 people×7 days=84 person-days\text{Food for 7 days} = P_2 \times 7 \text{ days} = 12 \text{ people} \times 7 \text{ days} = 84 \text{ person-days}

    b) The total food for the remaining 7 days is 84 person-days\boxed{\text{84 person-days}}.

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