The ratio of present ages of two brothers is 1 : 2 and
5 years back the ratio was 1 : 3. What will be the
ratio of their

2 thoughts on “The ratio of present ages of two brothers is 1 : 2 and<br />5 years back the ratio was 1 : 3. What will be the<br />ratio of their”

1. Answer:

   3:5

   Step-by-step explanation:

   x-5/2x-5 = 1/3

   3x-15 = 2x-5

   3x-15+5 = 2x

   3x – 10 = 2x

   3x-2x = 10

   x = 10

   2x = 20

   After 5 years

   x+5/2x + 5

   10+5/20+5

   15/25

   3/5

   3:5 Answer.

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2. AnswEr :

   ❍ Given that, the ratio of present ages of two brothers is 1: 2. So, let’s say that the present ages of the two brothers be x and 2x respectively.

   ⭒ By Given C O N D I T I O N :

   • Five years back, the ratio of their ages (both brother’s ages) was 1: 3.

   Therefore,

   ☆ Five years ago their ages —

   • Younger brother = (x – 5)
   • Elder brother = (2x – 5)

   ⠀⠀⠀

   Now,

   ⠀⠀⠀⠀

   [tex]\dashrightarrow\sf \bigg\{\dfrac{x – 5}{2x – 5}\bigg\} = \bigg\{\dfrac{1}{3}\bigg \} \\ \\\\\dashrightarrow\sf 3\Big\{x – 5\Big\} = \Big\{2x – 5\Big\} \\ \\ \ \\\dashrightarrow\sf 3x – 15 = 2x – 5\\\ \\ \\\dashrightarrow\sf 3x – 2x = – 5 + 15\\\ \\ \ \\\dashrightarrow\underline{\boxed{\frak{\pmb{\pink{x = 10 }}}}}\;\bigstar[/tex]

   Hence,

   • Present ages of both brother are, x = 10 years

   • 2x = 2(10) = 20 years

   ⠀⠀⠀⠀

   [tex]\therefore{\underline{\textsf{Present~ages~of~two~brothers~are~\textbf{10 years and 20 years}.}}}[/tex]

   ⠀⠀⠀

   [tex]\rule{300px}{.3ex}[/tex]

   ★ R A T I O :

   • After five years the ratio their ages will be —

   [tex]:\implies\sf \dfrac{10 + 5}{20 + 5} \\\\\\:\implies\sf \cancel\dfrac{15}{25} \\ \\ \\:\implies{\boxed{\underline{\frak{\purple{\dfrac{3}{5}}}}}}\;\bigstar[/tex]

   ⠀⠀⠀⠀

   [tex]\therefore{\underline{\textsf{Hence,~the~required~ratio~of~their~ages~is~ \textbf{3:5}.}}}[/tex]⠀⠀⠀⠀

   Reply