Question

3 years ago priya's age was four times the age of neha at that time five years hence anita's age will be twice the age of smita then find their present ages​.

Answer 1

AnSwer :

∴Let the age of Priya be m years and age of Neha be n years respectively.

⌑ Three years ago, their ages —

• Priya's age = (m – 3)

• Neha's age = (n – 3)

• As Per Question, we've:

• Three years ago Priya's age was four times the age of Neha at that time.

☆ 4(Neha's age) = Priya's age

➟ 4(n – 3) = (m – 3)

➟ 4n – 12 = m – 3

➟ m = 4n – 9 ⠀⠀⠀⠀⠀⠀⠀⠀⠀—eq. ( I )

• Five years Hence, Priya's age will be twice the age of Neha.

⌑ After five years, their ages —

• Priya's age = (m + 5)

• Neha's age = (n + 5)

☆ Priya's age = 2(Neha's age)

➟ (m + 5) = 2(n + 5)

➟ m + 5 = 2n + 10

➟ m = 2n + 10 – 5

➟ m = 2n + 5 ⠀⠀⠀⠀⠀⠀⠀⠀⠀—eq. ( II )

━━━━━━━━━━━━━━━━━━━

✰From eqₙ ( I ) & eqₙ ( II ) :

→ 4n – 9 = 2n + 5

→ 4n – 2n = 9 + 5

→ 2n = 14

→ n = 14⁄2

→ n = 7

━━━━━━━━━━━━━━━━━━━

✰Putting value of n in eqₙ ( II ) :

→ m = 2n + 5

→ m = 2(7) + 5

→ m = 14 + 5

→ m = 19

⠀

∴ Hence, the present age of Priya and Neha are 7 and 19 years respectively...