Question 1175199

let Nate's age be {{{N}}} and Josh's age {{{J}}}

if Nate is {{{5 }}}years older than {{{4}}} times Josh’s age, we have

{{{N=4J+5}}}.....eq.1

if their ages add together to a total of {{{100}}}, we have

{{{N+J=100}}} .....eq.2....substitute {{{N}}} from eq.1

{{{4J+5+J=100}}}.....solve for {{{J}}}

{{{5J=100-5}}}

{{{5J=95}}}

{{{J=95/5}}}

{{{J=19}}}


go to

{{{N=4J+5}}}.....eq.1, substitute {{{J}}}

{{{N=4*19+5}}}

{{{N=81}}}


how old is each?

answer: Nate is {{{81 }}} years old and Josh is {{{19 }}} years old