Arun has three sons and his friend shakti wants to know their ages. Arun gives him three hints as shakti couldn't answer till the third hint the product of their ages is 72 the sum of their ages is the same as my house number the oldest of sons love chocolate icecream
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Given:
Arun has three sons.
product of their ages is 72
Sum of their ages is the same as my house number
The oldest of sons love chocolate ice cream.
To Find:
The Sons' ages.
Solution:
Let a , b and c be the ages of the son.
According to the conditions,
- xyz = 72
- Factors of 72 = 2 x 6 x 6 = 2³ x 3² = 2x 2x 2 x 3 x 3
- Factors are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36.
- In this 2,6,6 and 3,3,8 add upto same house number.
- But he says his "oldest son".
- Therefore 2,6,6 can be removed.
- Hence the ages are 3, 3 and 8.
The ages are 3, 3, and 8.
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