Question 642856
Let
{{{Present_ age_ of_ Man = m}}} years old
{{{Present_ age_ of_ Son = s}}} years old


Man is {{{27}}} years older than his son
{{{m=s+27}}}...........(1)


In {{{10}}} years
{{{Man_ will_ be = m+10}}} years old
{{{Son_ will_ be = s+10}}} years old

Then

Man will be {{{twice}}} as old as his Son

{{{m+10=2(s+10)}}}

{{{m+10=2s+20}}}

{{{m=2s+20-10}}}

{{{m=2s+10}}}...............(2)

Substitute the value of m from (1) to (2)

{{{s+27=2s+10}}}

{{{s-2s=10-27}}}

{{{-s=-17}}}

Multiply by {{{-1}}} both sides

{{{-s(-1)=-17(-1)}}}

{{{s=17}}}


Substitute the value of s in (1)

{{{m=s+27}}}

{{{m=17+27}}}

{{{m=44}}}


{{{Present _age _of_ Man = m = 44}}} years old

{{{Present_ age _of_ Son = s = 17}}} years old