Question

Q1.Neelam's mother's present age is six times Neelam's present age. Neelam's age five year from now will be the one third of her mother's present age. What are their ages *

Answer 1

Step-by-step explanation:

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:

⠀⠀

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

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

$\begin{gathered}\longrightarrow\sf\quad x + 5 = 2x\\\\\\\end{gathered}$

$\begin{gathered}\longrightarrow\sf\quad 5 = 2x - x \\\\\\\end{gathered}$

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

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

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. ❞