Question

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 ages after 5 years




​

Answer 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.

Answer 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,

⠀⠀⠀⠀

$\dashrightarrow\sf \bigg\{\dfrac{x - 5}{2x - 5}\bigg\} = \bigg\{\dfrac{1}{3}\bigg \} \\ \\\\\dashrightarrow\sf 3\Big\{x - 5\Big\} = \Big\{2x - 5\Big\} \\ \\ \ \\\dashrightarrow\sf 3x - 15 = 2x - 5\\\ \\ \\\dashrightarrow\sf 3x - 2x = - 5 + 15\\\ \\ \ \\\dashrightarrow\underline{\boxed{\frak{\pmb{\pink{x = 10 }}}}}\;\bigstar$

Hence,

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

• 2x = 2(10) = 20 years

⠀⠀⠀⠀

$\therefore{\underline{\textsf{Present~ages~of~two~brothers~are~\textbf{10 years and 20 years}.}}}$

⠀⠀⠀

$\rule{300px}{.3ex}$

★ R A T I O :

• After five years the ratio their ages will be —

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

⠀⠀⠀⠀

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