Question

Emeka and uche and 9 years and 12 years old respectively if both share 42 oranges according to the ratio of their ages what is emeka share

Answer 1

To find Emeka's share of the 42 oranges based on his age and Uche's age, we first need to determine the total parts in the ratio of their ages.

Emeka is 9 years old, and Uche is 12 years old. Therefore, the ratio of their ages is:

\[
\text{Emeka's age} : \text{Uche's age} = 9 : 12
\]

We can simplify this ratio by dividing both numbers by 3:

\[
9 \div 3 : 12 \div 3 = 3 : 4
\]

This means that for every 3 parts Emeka receives, Uche receives 4 parts. Now we need to find the total number of parts:

\[
3 + 4 = 7 \text{ parts}
\]

Next, we can calculate how many oranges each part represents by dividing the total number of oranges by the total number of parts:

\[
\text{Value of each part} = \frac{42 \text{ oranges}}{7 \text{ parts}} = 6 \text{ oranges/part}
\]

Now, we can find Emeka's share based on his 3 parts:

\[
\text{Emeka's share} = 3 \text{ parts} \times 6 \text{ oranges/part} = 18 \text{ oranges}
\]

Therefore, Emeka's share of the 42 oranges is **18 oranges**.