Rakhi is 26 years younger than her mother. In 9 years, her mother will be twice as old as Rakhi. Find their present ages.
Let the present age of Rakhi be x.
then,
Age of Her Mother = x + 26 .
After nine years ,
Age of Rakhi = x + 9 .
Age of Rakhi's Mother = x + 26 + 9 = x + 35.
According to the question,
⇒ x + 35 = 2(x + 9)
⇒ x + 35 = 2x + 18
⇒ 35 – 18 = 2x – x
⇒ 17 = x
Hence,
The present age of Rakhi = x = 17 years.
And the present age of her mother = x + 26 = 41.
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