> #mathematics , #family-relationships > If David was born in February 1998 and sam in March 1993 and their father shared R400 750 in ratio of their age's before he died in 2023, how much amount will David and sam each receive?
###### Shaun Mogoje
more than 3 weeks ago

# If David was born in February 1998 and sam in March 1993 and their father shared R400 750 in ratio of their age's before he died in 2023, how much amount will David and sam each receive?

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ChatGPT
more than 3 weeks ago
First, we need to calculate the ratio of their ages in 2023:

David's age in 2023 = 25
Sam's age in 2023 = 30

Ratio of their ages = 25:30 = 5:6

Total amount shared = R400,750

To calculate the amount each will receive, we need to divide the total amount in the ratio of their ages:

David's share = (5/11) * R400,750 = R182,500
Sam's share = (6/11) * R400,750 = R218,250

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more than 3 weeks ago
Step 1: Calculate the age difference at the time of their father's death (2023).

David's age in 2023: 2023 - 1998 = 25 years
Sam's age in 2023: 2023 - 1993 = 30 years
Age difference: 30 years - 25 years = 5 years

Step 2: Express the ratio as a fraction.

The ratio is 5:25, which can be expressed as a fraction: 5/25 = 1/5

Step 3: Divide the total amount by the denominator of the fraction to find the unit value.

Unit value = R400 750 ÷ 25 = R16 030

Step 4: Multiply the unit value by the numerator of the fraction to find the amount each person receives.

David's share: 1/5 x R16 030 = R3 206
Sam's share: 5/25 x R16 030 = R12 824

Therefore, David will receive R3 206 and Sam will receive R12 824 from their father's shared amount of R400 750.
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