If the age of lrfan's father is three times more than that of Irfan's and the sum of ages (in years) of both people is equal to the perfect square of 8, then what will be the age of lrfan?

The problem states that the father's age is three times more than Irfan's age. This can be expressed as: 𝐹=𝐼+3𝐼=4𝐼 The sum of their ages is equal to the perfect square of 8: 𝐼+𝐹=8² The perfect square of 8 is 8×8=64. Therefore: 𝐼+𝐹=64 Substitute the expression for the father's age from the first equation (𝐹=4𝐼) into the second equation: 𝐼+4𝐼=64 Combine the terms on the left side: 5𝐼=64 Divide both sides by 5 to solve for 𝐼: 𝐼=64/5 𝐼=12.8 Answer: Based on the problem's conditions, the age of Irfan would be 12.8 years old.