Roberts father is 4 times as old as Robert. After five years father will be three times as old as Robert . Find their present ages
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Let Robert’s age be x years.
Then Robert’s father’s age = 4x
After 5 years, Robert’s age = x + 5
Father’s age = 4x + 5
According to the question,
4x + 5 = 3(x + 5)
4x + 5 = 3x + 15
4x - 3x = 15 - 5
x = 10
Age of Robert => x => 10 years
Age of Robert's father => 4x => 4 × 10 => 40 years
Then Robert’s father’s age = 4x
After 5 years, Robert’s age = x + 5
Father’s age = 4x + 5
According to the question,
4x + 5 = 3(x + 5)
4x + 5 = 3x + 15
4x - 3x = 15 - 5
x = 10
Age of Robert => x => 10 years
Age of Robert's father => 4x => 4 × 10 => 40 years
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