Question

the present age of Rama's mother is three times the age of Rama.Ten years hence,the age of mother will be twice the age of rama at that time. Find the ages

Answer 1

let ramas age be x and moms age be y

case 1(1)

y=3x

case 2

y+10=2(x+10) (sub eq 1)

3x+10=2x+20

x=10

y=30

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Answer 2

Given,

The present age of Rama's mother is three times the age of Rama. After 10 years the age of the mother will be twice the age of Rama.

To find,

The current ages of Rama and his mother.

Solution,

Let present age of Rama = x.

Then present age of Rama's mother would be = 3x.

Therefore,

Rama age after 10 years = x + 10.

Rama's mother age after 10 years = 3x + 10.

Now, it is given that, after 10 years the age of the mother will be twice the age of Rama.

⇒   3x + 10 = 2(x + 10)

Now, solving for x,

⇒   3x + 10 = 2x + 20

⇒   3x - 2x = 20 - 10

⇒   x = 10.

Hence,

The present age of Rama = x ⇒  10 years.

The present age of Rama's mother = 3x  ⇒ 3(10) = 30 years.