Math, asked by yashjaiswal1175, 3 months ago

1. The ratio of ages of Abha and her mother is 2 : 5. At the time of Abha’s birth her

mothers age was 27 year. Find the present ages of Abha and her mother​

Answers

Answered by monikeshari1
4

Step-by-step explanation:

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Answered by itzsecretagent
142

AnswEr :

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.

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Therefore,

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

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\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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