Question

The sum of ages of Meena and her mother is 90. Meena will be 5 times as old as her daughter Reena

‘s age at present, when- Meena is as old as her mother presently is. Reena will be twelve years older

than Meena is now, when Meena will be as old as her mother. What are their ages now?
(but using one variable only )​

Answer 1

$\Large{\underline{\underline{\bf{Solution :}}}}$

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★ Given :

The sum of ages of Meena and her mother is 90. Meena will be 5 times as old as her daughter Reena ‘s age at present, when- Meena is as old as her mother presently is. Reena will be twelve years older than Meena is now, when Meena will be as old as her mother. What are their ages now?

(but using one variable only )

______________________

★ To Find :

We have to find the present age of Meena and Meena's daughter.

____________________________

★ Solution :

Let Meena's daughter age be "x".

So, Meena's will be "5x"

Now, A.T.Q

$\sf{→ 5x + x = 90} \\ \\ \sf{→6x = 90} \\ \\ \sf{→ x = \frac{\cancel{90}}{\cancel{6}}} \\ \\ \sf{→ x = 15}$

So, Present age of Meena = 5x = 5(15) = 75 years

Present age of Meena's daughter = x = 15 years

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