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Determine the total number of parts in the ratio.

Mathematics

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Answer

Wife

N7,200,000\text{N}7,200,000

Son

N12,000,000\text{N}12,000,000

Daughter

N4,800,000\text{N}4,800,000

Step-by-step solution

4 steps
  1. Determine the total number of parts in the ratio.

    The ratio given is 3:5:23:5:2.
    Total parts =3+5+2=10= 3 + 5 + 2 = 10.

  2. Identify the total value of the estate.

    The estate is valued at N24,000,000.

  3. Calculate the value of one ratio part.

    Value per part =Total Estate ValueTotal Ratio Parts= \frac{\text{Total Estate Value}}{\text{Total Ratio Parts}}

    Value per part=N24,000,00010=N2,400,000\text{Value per part} = \frac{\text{N}24,000,000}{10} = \text{N}2,400,000
  4. Calculate each person's share.

    The question states "his wid and daughter" and a ratio of 3:5:23:5:2. Given the three parts in the ratio, it is assumed that "wid" refers to the wife, and there is an implied third beneficiary, likely a son, in the order Wife:Son:Daughter.

    • Wife's share: (3 parts) 3×N2,400,000=N7,200,0003 \times \text{N}2,400,000 = \text{N}7,200,000
    • Son's share: (5 parts) 5×N2,400,000=N12,000,0005 \times \text{N}2,400,000 = \text{N}12,000,000
    • Daughter's share: (2 parts) 2×N2,400,000=N4,800,0002 \times \text{N}2,400,000 = \text{N}4,800,000

    The shares are:
    Wife: N7,200,000\boxed{\text{N}7,200,000}
    Son: N12,000,000\boxed{\text{N}12,000,000}
    Daughter: N4,800,000\boxed{\text{N}4,800,000}

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