Question

umesh is now 5 years older than mahesh. in 10 years, umesh will be four times as old as mahesh was 10 years ago. Find their present age.

Answer 1

Let the present age of Mahesh= xYears.

Umesh present age=x+5

10 year ago Mahesh age=( x-10)Years

Umesh age 10 years ago=4(x-10)Years

4(x-10)Years=( x-10)Years

4x-40=x-10

3x=30

x=10

Mahesh age=10 Years

Umesh age=x+5=10+5=15 Years

Answer 2

$</p><p>{\text{Let the present age of Mahesh be }}x{\text{ years, then persent age Umesh will be }}\left( {x + 5} \right)\,{\text{ years}}{\text{.}} \hfill \\ {\text{10 years ago, age of Mahesh was = }}\left( {x - 10} \right){\text{years}} \hfill \\ {\text{10 years ago, age of Umesh was = 4}}\left( {x - 10} \right)\,{\text{years}} \hfill \\ {\text{Accordingly }} \hfill \\ x - 10 = 4\left( {x - 10\,\,} \right)\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, \hfill \\ \Rightarrow x - 10 = 4x - 40 \hfill \\</p><p> \Rightarrow x - 4x = - 40 + 10 \hfill \\</p><p> \Rightarrow - 3x = - 30 \hfill \\</p><p> \Rightarrow x = 10\,{\text{years}} \hfill \\</p><p>\Rightarrow {\text{Present age of Mahesh = }}10\,{\text{years}} \hfill \\</p><p>\Rightarrow {\text{Present age of Umesh = }}\left( {10 + 5} \right)\,{\text{years = 15 years}} \hfill \\ </p><p>$