Nathim's present age is a factor of 72. Two years ago, his age was a multiple of 4. Write down the possible present of ages Nathim. Ans: ___

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Worked solution

25

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

Factors of 7272: 1,2,3,4,6,8,9,12,18,24,36,721, 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−2x - 2):
−1,0,1,2,4,6,7,10,16,22,34,70-1, 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 44 in the list are 44 and 1616.
These correspond to the present ages of 66 and 1818.

Answer

6,186, 18

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