Question

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Answer 1

Answer:

Mrs Jain's age is 46 year

Nilu's age is 19 year

Step-by-step explanation:

Let the present age of Nilu be 'x' year.  

As Mrs. Jain is 27 year older than her daughter,  she age must be 27 more than that of Nilu.

Age of Mrs. Jain = x + 27

                 After 8 years:

Age of Nilu = 8 year more than present age

                    = x + 8

Age of Mrs. Jain = (x+27) + 8

                          = x + 35

According to the question, she is twice as old as Nilu

   ⇒ Mrs Jain's age = 2 * Nilu's age

   ⇒ x + 35 = 2(x + 8)

   ⇒ x + 35 = 2x + 16

   ⇒ 35 - 18 = 2x - x

   ⇒ 19 = x

∴ Present age of Nilu = x = 19 year

Pre. age of Mrs Jain = x + 27

                 = 19 + 27  = 46 year

Answer 2

$</p><p>\large\underline{\underline{\maltese{\red{\pmb{\bf{ \: Given :-}}}}}}$

• ➮ Mrs. Jain is 27 years older than daughter Nilu.
• ➮ After 8 years she will be twice the age of Nilu.

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$</p><p>\large\underline{\underline{\maltese{\red{\pmb{\bf{ \:To \: Find :-}}}}}}$

• ➮ Find the present age.

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

❒ Let :

☄️Present age :

• ➵ Age of Daughter = x
• ➵ Age of mother = x + 27

☄️Age after 8 years :

• ➵ Age of daughter = x + 8
• ➵ Age of mother = 35 + x

❒ Now cross Multiplication :

$\large{:\longmapsto{\sf{2(x + 8) = 35 + x}}}$

$\large{:\longmapsto{\sf{2x + 16 = 35 + x}}}$

$\large{:\longmapsto{\sf{2x -x = 35 - 16}}}$

$\large{\red{\dashrightarrow{\orange{\underline{\boxed{\bf{X = 19}}}}}}}$

❒ Hence :

$\begin{gathered} \purple{\begin{gathered}\begin{gathered}\bf\:\rm :\longmapsto\:Present \: ages \: \begin{cases} &\sf{Age{\small_{(Daughter)}}= x = 19 years} \\ \\ &\sf{Age{\small_{(Mother)}}= x + 27 = 19 + 27 = 46 years } \end{cases}\end{gathered}\end{gathered}}\end{gathered}</u></p><p></p><p></p><p></p><p></p><p><u>[tex]\begin{gathered} \purple{\begin{gathered}\begin{gathered}\bf\:\rm :\longmapsto\:Present \: ages \: \begin{cases} &\sf{Age{\small_{(Daughter)}}= x = 19 years} \\ \\ &\sf{Age{\small_{(Mother)}}= x + 27 = 19 + 27 = 46 years } \end{cases}\end{gathered}\end{gathered}}\end{gathered}$

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