Age of Radha's mother is 3 times Radha's age . After 15 years , she will be twice the age of Radha . Find their ages ?

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Solution

Let the present age of Radha be x yrs.

Therefore, present age of Radha's mother $= 3 x$ yrs.
After $15$ years,

Age of Radha $= 15 + x$ yrs.

Age of Radha's Mother $= 3 x + 15$ yrs

According to the question,
$3 x + 15 = 2 (x + 15)$

$3 x + 15 = 2 x + 30$

$x = 15$

Therefore, Age of Radha $= 15$ yrs

Age of Radha's Mother $= 45$ yrs

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Age of Radha's mother is 3 times Radha's age . After 15 years , she will be twice the age of Radha . Find their ages ?

Let the present age of Radha be x yrs.Therefore, present age of Radha's mother =3x yrs.After 15 years,Age of Radha =15+x yrs.Age of Radha's Mother =3x+15 yrsAccording to the question,3x+15=2(x+15)3x+15=2x+30x=15Therefore, Age of Radha =15 yrsAge of Radha's Mother =45 yrs