Question

aarti is smaller than her mother by 27 years. if sum of their ages is 49 then whats the age of aartis mother?​

Answer 1

Step-by-step explanation:

hope it helps you

Answer 2

⇝Given :-

• ➵ Aarti is 27 years smaller than her mother .Sum of their ages is 49 years .

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⇝To Find :-

• ➵ Find the age of Aartis mother.

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⇝Solution :-

${\large{\blue{\bigstar \: {\red{\underline{\text{Let :}}}}}}}$

• ➳ Age of mother = x years
• ➳ Age of Arti = x - 27 years
• ➳ Sum = 49 years

${\large{\blue{\bigstar \: {\red{\underline{\text{Finding the age :}}}}}}}$

${\large{\orange{\twoheadrightarrow}{\bf{Mother + Arti = 49 \: years }}}}$

${\large{\orange{\twoheadrightarrow}{\bf{x + (x - 27) = 49 \: years }}}}$

${\large{\orange{\twoheadrightarrow}{\bf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: 2x - 27= 49 \: }}}}$

${\large{\orange{\twoheadrightarrow}{\bf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: 2x = 49 + 27 \: }}}}$

${\large{\orange{\twoheadrightarrow}{\bf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: 2x = 76\: }}}}$

${\large{\orange{\twoheadrightarrow}{\bf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: x ={\cancel \frac{76}{2} \: }}}}}$

${\large{\green{:{\longmapsto{\underline{\boxed{\bf{X = 38}}}}}}}}</p><p></p><p>$

${\large{\blue{\bigstar \: {\red{\underline{\text{So :}}}}}}}$

$\begin{gathered} \pink{\begin{gathered}\begin{gathered}\bf\:\rm :\dashrightarrow\:Present \: age \: of \: \begin{cases} &\sf{Mother = 38 \: years} \\ \\ &\sf{Arti = 38 - 27 = 11 \:years } \end{cases}\end{gathered}\end{gathered}}\end{gathered}$

${\large{\blue{\bigstar \: {\red{\underline{\text{Hence :}}}}}}}$

➻ Age of Arti's mother is 38 years.

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