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14 votes
14 votes
Seena’s mother is 7 times as old as Seena. After 4 years

her mother will be 4 times as old as she will be then .Find
their present ages.

User Gustavo Barbosa
by
2.4k points

1 Answer

13 votes
13 votes

Given :

Seena’s mother is 4 times as old as Seena. After 5 years her mother will be 3 times as old as she will be then .Find their present ages.

Solution :

Let us assume :

Seena's age be x

Her mother's age be 4x

After 5 years :

Seena's age = x + 5

Her mother's age = 4x + 5

Ratio of age after 5 years :

Seena's mother = 3

Seena's ratio = 1

Hence, the equation is :


\looparrowright\frak{ (4x + 5)/(x + 5) = (3)/(1) }

By cross multiplying we get


\looparrowright \frak{3(x + 5) = 4x + 5}


\looparrowright \frak{3x + 15 = 4x + 5}


\looparrowright \frak{x = 10}

Hence, the ages are

Seena's age = x = 10 yrs

Her mother's age = 4x = 4 × 10 = 40 years

Seena's age is 10 and her mother's is 40 respectively

User Liero
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