Question

5. Sahil's mother's present age is six times Sahil's present age. Sahil's age five years from now
will be one third of his mother's present age. What are their present ages?​

Answer 1

Answer :

• Present age of Sahil is 5 years
• His mother age is 6x = 6(5) = 30 years

Given :

• Sahil's mother's present age is six times Sahil's present age
• Sahil ages five years from now will be one third of his mother's present age

To find :

• Their present ages

Solution :

• Let present age of Sahil be x

Given that, Sahil's mother's present age is 6 times Sahil present age so ,

• Sahil's mother's age be 6x

And also Given that,

After 5 years, from now will be one third of his mother's present age so, x + 5

》 x + 5 = 1/3 + 6x

》x + 5 = 2x

》x = 5

Hence ,

• Present age of Sahil is 5 years
• His mother's age is 6x = 6(5) = 30 years

Answer 2

GIVEN

We are given the relation between Sahil's present age and his mother's age.

Let Sahil's present age be x

Then Sahil's mother's age will be 6x.

TO FIND

We have to find the present age of Sahil and his mother

We are also given that Sahil's age five years from now will be 1/3rd of his mother's present age

SOLUTION

We can depict the above situation in terms of the following equation

X + 5 = 1/3 ( 6X)

==> X + 5 = 2X

==> X = 5 years

==> 6X = 30 years

ANSWER

Therefore, the present age of Sahil is 5 years and his mother's present age is 30 years