Question

8 years ago, Neelam was four times as old as a daughter .8 years hence, Neelam will be two times as old as a daughter. find their present ages.
( whoever will answer first and correct will be marked as brainlist answer)​

Answer 1

Given:

• 8 years ago, Neelam was four times as old as her daughter. 8 years hence, Neelam will be two times as old as her daughter.

To find:-

• Present age of Neelam and her daughter.

Answer:-

▪8 years ago:-

‣ Let the age of Neelam's daughter 8 years ago be x years.

According to the question, 8 years ago, age of Neelam was 4 times the age of her daughter.

‣ Age of Neelam 8 years ago = 4x years

▪ Present age:-

‣ Present age of Neelam's daughter = (Age of Neelam's daughter 8 years ago) + 8 = (x + 8) years

‣ Present age of Neelam = (Age of Neelam 8 years ago) + 8 = (4x + 8) years

▪8 years hence:-

‣ Age of Neelam's daughter 8 years hence = (Present age of Neelam's daughter) + 8 = (x + 8) + 8 years = (x + 16) years

‣ Age of Neelam 8 years hence = (Present age of Neelam) + 8 = (4x + 8) + 8 years = (4x + 16) years

▪ Accroding to the question, Age of Neelam 8 years hence = 2(Age of Neelam's daughter 8 years hence)

So,

4x + 16 = 2(x + 16)

→ 4x + 16 = 2x + 32

→ 4x - 2x = 32 - 16

→ 2x = 16

→ x = 16/2

→ x = 8

Hence,

⦾ Present age of Neelam's daughter = x + 8 = 8 + 8 = 16 years Ans.

⦾ Present age of Neelam = 4x + 8 = (4 × 8) + 8 = 40 years Ans.

Answer 2

Step-by-step explanation:

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$\text{\huge\underline{\red{Question:-}}}$

: $\Longrightarrow$ 8 years ago, Neelam was four times as old as a daughter .8 years hence, Neelam will be two times as old as a daughter. find their present ages.

$\text{\huge\underline{\orange{To\ find:-}}}$

: $\Longrightarrow$ Present age of neelam = ?

: $\Longrightarrow$ Present age of daughter = ?

$\text{\huge\underline{\purple{Solution:-}}}$

: $\Longrightarrow$ Let age of the daughter = x

: $\Longrightarrow$ 8 years ago daughter's age = x - 8

: $\Longrightarrow$ And neelam's age at that time = 4 (x - 8)

: $\Longrightarrow$ Present age of neelam's = 4x - 32 + 8 = 3x - 24

: $\Longrightarrow$ 8 years hence neelam's age = 4x - 24 + 8 = 4x - 16

: $\Longrightarrow$ 8 years hence daughter's age = x + 8

$\text{\huge\underline{\green{Given:-}}}$

: $\Longrightarrow$ 2 (x + 8) = 2 (4x - 16)

$\text{\large\underline{\pink{According\ to\ the\ question:-}}}$

: $\Longrightarrow$ 2x + 16 = 8x - 32

: $\Longrightarrow$ 16 + 32 = 8x - 2x

: $\Longrightarrow$ 48 = 6x

: $\Longrightarrow$ x = $\mathrm{\dfrac{48}{6}}$

: $\Longrightarrow$ x = 8.

: $\Longrightarrow$ ● Daughter's present age = x + 8 = 8 + 8 = 16 years.

: $\Longrightarrow$ ● Neelam's present age = 4x + 8 = (4 × 8) + 8 = 40 years.

$\text{\huge\underline{\bf{Hence\ Verified}}}$

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