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Answer 1

$\Huge{\texttt{{{\color{Magenta}{⛄A}}{\red{N}}{\purple{S}}{\pink{W}}{\blue{E}}{\green{R}}{\red{♡}}{\purple{࿐⛄}}{\color{pink}{:}}}}}$

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5 years & 30 years

Question states that Neelam's mother's present age is 6 times Neelam's present age. Neelam's age 5 years from now will be the ⅓ of her mother's present age. & we're asked to calculate their present ages. We've:

Neelam's mother's present age is 6 times the Neelam's present age.

Neelam's age 5 years from now will be the ⅓ of her mother's present age.

Let's say, that the Neelam's age be x and her mother's age be 6x.

» 5 years from now,

⠀⠀⠀⠀⌑ Neelam's age = (x + 5)

⠀⠀⠀⠀⌑ Her mother's age = (6x + 5)

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

• A s P e r Q u e s t i o n :

Neelam's age 5 years from now will be the ⅓ of her mother's present age. Writing it in a Linear equation:

⠀⠀

$\longrightarrow\sf\quad Neelam's \;age = \dfrac{1}{3} \times Mother's\;age$

$\longrightarrow\sf\quad x + 5 = \dfrac{1}{\cancel{\;3~}} \times \cancel{\;6\;}x$

$\longrightarrow\sf\quad x + 5 = 2x$

$\longrightarrow\sf\quad 5 = 2x - x$

$\longrightarrow\quad\underline{\boxed{\pmb{\frak{x = 5}}}}\;\bigstar$

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

Therefore,

Neelam's age, x = 5 years

Neelam's mother's age, 6x = 6(5) = 30 years

⠀

❝ Hence, the present age of Neelam and her mother are 5 years and 30 years. ❞

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$\huge\red{\boxed{\orange{\mathcal{{{\fcolorbox{red}{i}{{\red{@Master}}}}}}}}}$

Answer 2

Answer:

5 years & 30 years

Question states that Neelam's mother's present age is 6 times Neelam's present age. Neelam's age 5 years from now will be the ⅓ of her mother's present age. & we're asked to calculate their present ages. We've:

Neelam's mother's present age is 6 times the Neelam's present age.

Neelam's age 5 years from now will be the ⅓ of her mother's present age.

Let's say, that the Neelam's age be x and her mother's age be 6x.

» 5 years from now,

⠀⠀⠀⠀⌑ Her mother's age = (6x + 5)

⠀⠀⠀⠀⌑ Neelam's age = (x + 5)

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

• A s P e r Q u e s t i o n :

Neelam's age 5 years from now will be the ⅓ of her mother's present age. Writing it in a Linear equation: