Apples and pears

Mom divided 24 apples and 15 pears to children. Each child received the same number of apples and pears - same number as his siblings. How many apples (j=?) and pears (h=?) received each child?

Correct answer:

j =  8
h =  5

Step-by-step explanation:

$$\begin{gathered} 24=2^3\cdot 3 \\ 15=3\cdot 5 \\ \text{GCD}(24,15)=3 \\ d=GCD(24,15)=3 \\ j=24\mathrm{/}d=24\mathrm{/}3=8 \end{gathered}$$

$h=15\mathrm{/}d=15\mathrm{/}3=5$

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