# 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?

Result

j =  8
h =  5

#### Solution:

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

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