सुमित केम फर्स्ट इन द क्लास
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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,
⠀⠀⠀⠀⌑ 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}
⟶Neelam
′
sage=
3
1
×Mother
′
sage
\begin{gathered}\longrightarrow\sf\quad x + 5 = \dfrac{1}{\cancel{\;3~}} \times \cancel{\;6\;}x \\\\\\\end{gathered}
⟶x+5=
3
1
×
6
x
\begin{gathered}\longrightarrow\sf\quad x + 5 = 2x\\\\\\\end{gathered}
⟶x+5=2x
\begin{gathered}\longrightarrow\sf\quad 5 = 2x - x \\\\\\\end{gathered}
⟶5=2x−x
\begin{gathered}\longrightarrow\quad\underline{\boxed{\pmb{\frak{x = 5}}}}\;\bigstar\\\end{gathered}
⟶
x=5
x=5
★
⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
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. ❞
Answer:
sumit came first in the class