Answer:
Present age of son = 12 years
Present age of father = 42 years
Also, expression is 4x + 5 .
Step-by-step explanation:
Let son's age two years ago be x years .
As two years ago, father was four times as old as his son, so
father's age two years ago was 4 x years.
Present age of son = x + 2 years
Present age of father = 4x + 2 years
After three years, son's age = x + 2 + 3 = x + 5 years
After three years, father's age = 4x + 2 + 3 = 4x + 5 years
As it's given that three years from now the father will be only three times as old as the son,
4x + 5 = 3 (x+5)
4x + 5 = 3x + 15
4x - 3x = 15-5
x = 10
So,
Present age of son = x + 2 years = 10 + 2 =12 years
Present age of father = 4x + 2 years = 4(10) + 2 = 40 + 2 = 42 years
Also, we need to find an expression that represents his father's age three years from now.
Expression is 4x + 5 .