纳辛现在的年龄是 72 的因数。两年前，他的年龄是 4 的倍数。写出纳辛所有可能的现在年龄。答：___

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完整解法

1. List all factors of 72 to find the possible present ages.

Factors of $72$ : $1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72$ .

2. Find the corresponding ages two years ago by subtracting 2 from each factor.

Ages two years ago ( $x - 2$ ):
$-1, 0, 1, 2, 4, 6, 7, 10, 16, 22, 34, 70$

3. Identify which of these past ages are multiples of 4.

The positive multiples of $4$ in the list are $4$ and $16$ .
These correspond to the present ages of $6$ and $18$ .

答案

$6, 18$

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