Question 97902
{{{x}}} -> shimaran's age now
{{{y}}} -> shimaran's son's age now

By "shimaran is twice as ols as her son" we have that:

{{{x = 2y}}}

"in four years she will be four times as old as her son was 9 years ago"

shimaran's age in four years -> x+4
shimaran's son's age 9 years ago -> y-9

{{{x+4 = 4(y-9)}}}
{{{x+4 = 4y-36}}}
{{{x-4y = -40}}}

As shimaran's age is twice her son's age, 2y is the same as x.

{{{2y-4y = -40}}}
{{{-2y = -40}}}
{{{y = 20}}}

As shimaran's age is twice her son's age, {{{x = 40}}}. Problem solved!