Question 1151474

let man's age be {{{x}}} and his son's age {{{y}}}

if a man's age is {{{6}}} less than {{{three}}}{{{ times}}} his son's age. we have

{{{x=3y-6}}}.........eq.1


if the sum of their age is {{{58}}}, we have

{{{x+y=58}}}........eq.2


substitute {{{x}}} from eq.1

{{{3y-6+y=58}}}........eq.2.....solve for {{{y}}}

{{{4y=58+6}}}

{{{4y=64}}}

{{{y=64/4}}}


{{{y=16}}}

now calculate {{{x}}}


{{{x=3*16-6}}}.........eq.1

{{{x=42}}}



 the man is {{{42}}} years old