Question

sahils mother's present age is six times shail's present age.sahil's age after five years from now will be one third of his mother's present age.what are their present age ​

Answer 1

★Given:-

• Sahil's mother's present age = 6 times of sahil's present age.
• Sahil's age after five years from now = 1/3rd of his mother's present age.

★To find:-

• Their present ages.

★Solution:-

Let,

• Sahil's age = x years.

Given that Sahil's mother's present age is 6 times of sahil's present age.

• Sahil's mother's age = 6x

Sahil's age after five years from now will be one third of his mother's present age.Therefore,

→Sahil's age after 5 years = Sahil's mother's present age/3

We have,

• Sahil's age after 5 years = x + 5
• Sahil's mother's present age = 6x

Putting the values,

➺Sahil's age = 1/3rd of his mother's

➺x + 5 = 6x/3

➺x + 5 = 2x

➺5 = 2x - x

➺x = 5

Therefore,

The present age of Sahil is 5.

Present age of sahil's mother:-

➺6x = 6(5)

➺30 years.

Hence,present age of sahil's mother is 30 years.

________________

Answer 2

AnswEr :

Let the Present Age of Sahil's mother be x yrs, and then Present Age of Sahil be 6x yrs.

• A F T E R 5⠀Y E A R S (Future) :

◗ Sahil = Present + 5 = (x + 5) yrs

◗ Sahil's Mother = ⅓rd × Sahil's Present Age = (⅓ × 6x) yrs

• According to the Question :

↠ Sahil = One - third of his mother's age

↠ (x + 5) = ⅓ × 6x

↠ x + 5 = 6x/3

↠ x + 5 = 2x

↠ 5 = 2x - x ⠀⠀⠀⠀

↠ 5 = x yrs

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• P R E S E N T⠀A G E S :

◗ Sahil = x = 5 Years

◗ Sahil's mother = 6x = 6(5) = 30 Years

∴ Present Age of Sahil and Sahil's mother will be 5 Years and 30 Years respectively.