Question

Please Modetors ko ans dene do ek baar please

(6) 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. ​

Answer 1

$\large\underline{\underline{\maltese{\pmb{\sf{\red{ \: Given :-}}}}}}$

• ➥ 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.

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$\large\underline{\underline{\maltese{\pmb{\sf{\red{ \: To \: Find :-}}}}}}$

• ➥ Find the present age of Abha and her mother.

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$\large\underline{\underline{\maltese{\pmb{\sf{\red{ \: Solution :-}}}}}}$

✬ Let :

• ➳ Present age of Abha = x years
• ➳ Age of Abha at time of her birth = 0 years
• ➳ Present age of Abha = 2
• ➳ Present age of Abha's mother = 5

➵ Present age of Abha :

• Present Age of Abha is x years and age of mother is x + 27 years. So,

$\huge{\blue{\bigstar{\green{\underline{\pink{\bf \: \: \: { \frac{x}{x + 27} = \frac{2}{5} }}}}}}}</p><p>$

✬ Now cross multiplication :

$\large{:\longmapsto\sf{ (x \times 5) = 2(x + 27)}}$

$\large{:\longmapsto\sf{ 5x= 2x + 54}}$

$\large{:\longmapsto\sf{ 5x - 2x = 54}}$

$\large{:\longmapsto\sf{ 3x = 54}}$

$\large{:\longmapsto\sf{ x = \cancel \frac{54}{3} }}$

$\large{\red{:{\longmapsto{\purple{\boxed{\underline{\overline{\bf{X = 18}}}}}}}}}$

✬ Hence :

$\begin{gathered} \orange{\begin{gathered}\begin{gathered}\bf\:\rm :\longmapsto\:Present \: age \: of \: \begin{cases} &\sf{Age {\small_{(Abha)}} = x = 18 \: years} \\ \\ &\sf{Age{\small_{(Abha's \: mother)}} = x + 27 = 45 \: years } \end{cases}\end{gathered}\end{gathered}}\end{gathered}</u></p><p></p><p><u>[tex]\begin{gathered} \orange{\begin{gathered}\begin{gathered}\bf\:\rm :\longmapsto\:Present \: age \: of \: \begin{cases} &\sf{Age {\small_{(Abha)}} = x = 18 \: years} \\ \\ &\sf{Age{\small_{(Abha's \: mother)}} = x + 27 = 45 \: years } \end{cases}\end{gathered}\end{gathered}}\end{gathered}$

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