Question 339652
john is 6 years older than jill 5 years ago john was 3 times as old as jill was then, form equation in x and solve it to find what age jill is now


Let Jill's and John's current ages be {{{J[i]}}} and {{{J[o]}}}, respectively


Since john is currently 6 years older than jill, then we'll have:

{{{J[o] = J[i] + 6}}}, or, {{{J[o] - J[i] = 6}}}____ eq(i) 


And, since 5 years ago john was 3 times as old as jill was then, then we'll also get:

{{{J[o] - 5 = 3(J[i] - 5)}}}, or, {{{J[o] - 3J[i] = - 10}}} ___ eq (ii)


{{{J[o] - J[i]  = 6}}} ______ eq(i)
{{{J[o] - 3J[i] = - 10}}} ___ eq (ii)


{{{2J[i] = 16}}} __ Subtracting eq (ii) from eq (i)


{{{J[i] = 16/2}}} ____ {{{J[i] = 8}}}


Therefore, {{{J[i]}}} or Jill's current age = {{{highlight_green(8)}}} years.