Question

28. Mrs. Jain is 27 years older than her daughter Nilu. After 8 years she will be twice as old
as Nilu. Find their present ages.​

Answer 1

Step-by-step explanation:

hope the above answer will help you

Answer 2

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$\huge\red{\underline{{\bf Question : }}}$

✦ Mrs Jain is 27 years older than her daughter Nilu. After 8 years she will be twice as old as Nilu. Find their present ages?

$\huge\red{\underline{{\bf Answer : }}}$

$\bf\large{\underline\blue{Given:}}$

➛ Mrs. Jain is 27 years older than her daughter Nilu.

➛ After 8 years she will be twice as old

as Nilu.

$\bf\large{\underline\green{To Find:}}$

➛ Find the present ages of Nilu and Mrs. Jain.

$\bf\large{\underline\orange{Solution:}}$

⟶ Let the present age of Nilu be x years

⟶ Therefore the present age of Nilu's mother = ( x + 27 ) years.

▪️So, after 8 years,

⟶ Nilu's age = ( x + 8 )

⟶ Mrs. Jain's age = ( x + 27 + 8 ) = ( x + 35 ) years.

$\sf\pink{⟹ \: x + 35 = 2(x + 8)}$

▪️Expanding the brackets, we get :

$\sf\pink{⟹ \: x + 35 = 2x + 16}$

▪️Transposing x to RHS and 16 to LHS, we get :

$\sf\pink{⟹ \: 35 - 16 = 2x - x}$

$\sf\pink{⟹ \: x = 19}$

⟶ So, the present age of Nilu =

${\boxed{{\bf{x = 19 \: years.}}}}$

⟶ And the present age of Nilu's mother that is Mrs . Jain =

${\boxed{{\bf{x + 27 = 19 + 27 = 46 \: years.}}}}$

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