Meeras mother is four times as old as meera. After 5 years,her mother

1.	Meeras mother is four times as old as meera. After 5 years,her mother will be three times as old as she will be then. What are their present ages?
Answer» ★ Given : MEERA's mother is four TIMES as old as meera. After 5 years,her mother will be three times as old as she will be then. ★ To Find : The present ages of Meera and her mother. ★ ${\underline{\underline{\large{\bold{\red{Solution:-}}}}}}$ • Let the present age of Meera be X years. • Meera's mother is four times as old as Meera. So, Her age will be 4x years. • After 5 years the age of Meera will be ( x + 5 ) years. • According to the question, After 5 years, the age of Meera's mother will be = ( 4x + 5 ) years. According to the question, $(4x + 5) = 3(x + 5) \\ \\ = > 4x + 5 = 3x + 15 \\ \\ = > 4x - 3x = 15 - 5 \\ \\ = > x = 10$ Therefore, the present age of Meera's mother is (10 × 4 ) = 40 years. $\therefore$ The age of Meera and her mother is RESPECTIVELY 10 years and 40 years.

Meeras mother is four times as old as meera. After 5 years,her mother will be three times as old as she will be then. What are their present ages?

Answer»

★ ${\underline{\underline{\large{\bold{\red{Solution:-}}}}}}$

• Let the present age of Meera be X years.

• Meera's mother is four times as old as Meera. So, Her age will be 4x years.

• After 5 years the age of Meera will be ( x + 5 ) years.

• According to the question,

After 5 years, the age of Meera's mother will be = ( 4x + 5 ) years.

According to the question,

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

Therefore, the present age of Meera's mother is (10 × 4 ) = 40 years.

$\therefore$ The age of Meera and her mother is RESPECTIVELY 10 years and 40 years.