Question

Reema's Mother is four times as old as Reema. After 5 years, her mother will be 3 times as old as she will be then. Find their present ages. Please Tell the Answer

Answer 1

Let age of Reema be x and mother be y.

Acc. to question,

4x = y......(i)

and y+5 = 3(x+5)

⇒ y+5 = 3x + 15

⇒ y-3x = 10

⇒ 4x-3x = 10 (∵4x is equal to y)

⇒ x = 10

∴ y = 4x

= 4×10

= 40

Therefore, present age of Reema is 10 years and mother is 40 years.

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Answer 2

$\Large{\underline{\underline{\mathrm{\purple{Given}}}}}$

Reema's Mother is four times as old as Reema. After 5 years, her mother will be 3 times as old as she will be then.

$\Large{\underline{\underline{\mathrm{\purple{Find\;out}}}}}$

Present age of Remma and her mother

$\Large{\underline{\underline{\mathrm{\purple{Solution}}}}}$

★ Let the Remma present age be x and her mother present age be 4x

*According to the given condition*

• After 5 years
• Remma's age = (x + 5)
• Remma's mother age = (4x + 5)

$\implies\sf 4x + 5 = 3(x + 5) \\ \\ \\ \implies\sf 4x + 5 = 3x + 15 \\ \\ \\ \implies\sf 4x - 3x = 15 - 5 \\ \\ \\ \implies\sf x = 10$

${\underline{\boxed{\tt{\red{Present\:age\:of\:Remma=x=10years}}}}}$

${\underline{\boxed{\tt{\red{Present\:age\:of\:Remma's\:mother=4x=40years}}}}}$