The present age of father is thrice that of his son's age.Five years f

1.	The present age of father is thrice that of his son's age.Five years from now father's age will be 8 years more than twice of his son's age. Find their present age
Answer» $\huge\boxed{\fcolorbox{red}{ink}{Consider:}}$ Let the present AGE of the father be a and the present age of the son be b $\huge\boxed{\fcolorbox{purple}{ink}{GIVEN:}}$ It is given that The present age of father is thrice that of his son's age. $x−5=3(y−5) \\ \\x−5=3y−15 \\ \\ x−3y=−15+5 \\ \\x−3y=−10 \: \: \: \: \: (1)$ $\huge\fbox\pink{✯Condition✯}$ Five years from now father's age will be 8 years more than twice of his son's age. $x+5=2(y+8) \\ \\x+8=2y+16 \\ \\ x−2y=16-5 \\ \\x−2y= 11 \: \: \: \: \: (2)$ $\huge\boxed{\dag\sf\red{NOW}\dag}$ Subtract EQUATION 1 from equation 2 to eliminate x as the COEFFICIENTS of x are same (x−x)+(−2y+3y)=5+11 i.e. y=16 place this VALUE of y in (2), we get x−32=11 i.e. x=11+32=43 $\huge\boxed{\dag\sf\red{Therefore}\dag}$ The present age of the father is 43 years and the present age of the son is 16 years.