Question 951798


let Mr. Integer's age be {{{x}}} and Ratio's age {{{y}}}

given: 
{{{x=y+25}}}.........eq.1
Nineteen years from now,  Mr. Integer's age will be {{{x+19}}} and Ratio was  {{{y-1}}} a year ago

Mr. Integer's age will be {{{4}}} times Ratio's age a year ago:

{{{x+19=4(y-1)}}} ......eq.2

solve this system:
{{{x=y+25}}}.........eq.1
{{{x+19=4(y-1)}}} ......eq.2
---------------------------------------substitute {{{x}}} from eq.1 in eq.2

{{{y+25+19=4(y-1)}}} ......eq.2...solve for {{{y}}}

{{{y+25+19=4y-4}}}

{{{4+25+19=4y-y}}}

{{{48=3y}}}

{{{y=48/3}}}

{{{highlight(y=16)}}} ........... Ratio's present age

{{{x=y+25}}}.........eq.1

{{{x=16+25}}}

{{{highlight(x=41)}}}...........Mr. Integer's present age