Question

The ratio of ages of Abha and her mother is 2:5At the time of Abha birth her mother age was 27 year.find the present age of Abha and her mother​

Answer 1

Answer:

abha/mother=2/5

5*abha=2*mother

when abha=0 mother=27

after 18 years

abha=18 and mother=45

18*5=45*2

so present ages are 18 and 45

Answer 2

$\huge\underline{\overline{\mid{\bold{\color{maroon}{\mathcal{Question:-}}\mid}}}}$

The ratio of ages of Abha and her mother is 2:5At the time of Abha birth her mother age was 27 year.find the present age of Abha and her mother

$\huge\bf\red{ \mid{ \overline{ \underline{ANSWER}}} \mid}$

❍ Given that, the ratio of ages of Abha and Her mother is 2: 5. So, let's say that the present ages of Abha and her mother be 2x and 5x respectively.

⭒ By given C O N D I T I O N :

At the time of Abha's Birthday, her mother was 27 years old.

⠀⠀⠀Therefore,

⠀⠀⠀

$\begin{gathered}\begin{gathered}\dashrightarrow\sf 5x - 2x = 27 \\\\\\\dashrightarrow\sf 3x = 27 \\\\\\\dashrightarrow\sf x = \cancel\dfrac{27}{3}\\\\\\\dashrightarrow\underline{\boxed{\frak{\pmb{\purple{x = 9}}}}}\;\bigstar\end{gathered}\end{gathered}$

Hence,

⠀⠀☆ Abha's present age is 2x = 2(9) = 18 years.

⠀⠀☆ Abha's mother's present age is 5x = 5(9) = 45 ⠀⠀⠀⠀years.

$\therefore{\underline{\textsf{hence,\; \textbf{Option A)}\;present\;age\;of\;Abha\;\&\;her\; mother\;is\; \textbf{18 years}\:\sf{and}\;\textbf{45 years}.}}}$

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