Question

vihaan's mother's present age is 6 times vihaan's present age. vihaan's age 5 years from now will be one third of his mother's age. what are their present ages?​

Answer 1

Answer:

Vihaan age = 6

Vihaan mothers age = 30

Answer 2

$\overline{ \underline{ \boxed{ \sf GIVEN \darr}}}$

vihaan's mother's present age is 6 times vihaan's present age. vihaan's age 5 years from now will be one third of his mother's age. what are their present ages?

$\overline{ \underline{ \boxed{ \sf HOW \: TO \: DO \darr}}}$

Step 1 : Let us assume Vidhaan's age as x

Step 2 : Then we can get his mother's age

Step 3 : As it's told after 5 years so 5 will be added to Vidhaan's age

Step 4 : 1/3 of his mother's age is the result here

Step 5 : All the previous steps are the way to get the equation and then we can get the result

$\overline{ \underline{ \boxed{ \sf SOLUTION \darr}}}$

Let the age of Vidaan be x

Her mother's age is 6 times of x i.e. 6x

Vidhaan's age after 5 years = x + 5

1/3 of his mother age = 1/3 of 6x

So, the equation is :

⟹ x + 5 = 1/3 of 6x

Simplifying the right hand side we get

⟹ x + 5 = 2x

Transposing x on the right hand side

⟹ 5 = 2x - x

⟹ x = 5

Now,

Vidhaan's age = x

By putting x's value we get

Vidhaan's age = 5

So, Vidhaan's age is 5 years

Mother's age is 6 times of Vidhaan's age = 6x = 6 × 5 = 30 years

Therefore, his mother's age is 30 years