Question

Three year hence, the ratio of the ages of Ananya and Sneha was 11:9. At present, the
ratio between their ages is 5:4. What is Sneha's present age?
oportion
Grade - 7​

Answer 1

Correct Question :- Three year hence, the ratio of the ages of Ananya and Sneha will be 11:9. At present, the ratio between their ages is 5:4. What is Sneha's present age ?

Sᴏʟᴜᴛɪᴏɴ :-

Let us Assume that, Present age of Ananya and Sneha is 5x years & 4x years.

So,

→ 3 years hence, Ananya will be = (5x + 3) years old.

→ 3 years hence, Sneha will be = (4x + 3) years old.

A/q,

→ (5x + 3) : (4x + 3) = 11 : 9

→ (5x + 3) / (4x + 3) = 11 / 9

→ 9(5x + 3) = 11(4x + 3)

→ 45x + 27 = 44x + 33

→ 45x - 44x = 33 - 27

→ x = 6 .

Hence,

→ Sneha's Present age = 4x = 4*6 = 24 Years. (Ans.)

Answer 2

Answer:

Let the Present Age of Ananya & Sneha be 5n and 4n.

⠀

☢ Given : Three year hence, the ratio of the ages of Ananya and Sneha will be 11:9.

⠀

☯ $\underline{\boldsymbol{According\: to \:the\: Question :}}$

$:\implies\sf \dfrac{Ananya+3}{Sneha+3}=\dfrac{11}{9}\\\\\\:\implies\sf \dfrac{5n + 3}{4n + 3} = \dfrac{11}{9}\\\\\\:\implies\sf (5n + 3) \times 9 = 11 \times (4n + 3)\\\\\\:\implies\sf 45n + 27 = 44n + 33\\\\\\:\implies\sf 45n -44n = 33 - 27\\\\\\:\implies\sf n = 6$

⠀⠀⠀$\rule{160}{1}$

$\underline{\bigstar\:\textsf{Present Age of Sneha :}}$

$\dashrightarrow\sf\:\:Sneha=4n\\\\\\\dashrightarrow\sf\:\:Sneha=4 \times 6\\\\\\\dashrightarrow\:\:\underline{\boxed{\sf Sneha=24 \:years}}$

⠀

$\therefore\:\underline{\textsf{Hence, Present Age of Sneha is \textbf{24 years}}}.$