There are three Pathan brothers Yusuf Pathan Irfan Pathan and Saddam Pathan The sum of the squares o...........

Quant (SSC) Problems based on Ages

There are three Pathan brothers Yusuf Pathan, Irfan Pathan and Saddam Pathan. The sum of the squares of the their ages (in completed years) is 325. If the product of their ages does not exceed 1000, find the age (in years) of the youngest brother.

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Explanation:

Let the ages of the 3 brothers in completed years be x, y, z.
x² + y ² + z² = 325 .......(i)
Clearly, the three numbers have to be less than 18 since the square of 18 itself is 324.
By trial, we see that 325 = 15² + 8² + 6² or 12² + 10² + 9²
As the product of the ages is less than 1000, the ages have to be 6, 8, 15
The youngest is 6.