Question

Ramesh's father's present age is three times Ramesh's age. After 12 years, his father size
twice his age. Find their present ages.

Answer 1

Answer:

36 YEARS

Step-by-step explanation:

After 12 years, he will be twice as old as his son at that time. Find their present ages. ∴ Present age of son is 12 years and Present age of father is = 3x = 3 x 12 = 36 years.

Answer 2

• Present age of Ramesh = 12 years

• Present age of Ramesh's father = 36 years

Given :

• Ramesh's father's present age is three times Ramesh's age.

• After 12 years, his father's age will be twice his age

To find :

• Present age of Ramesh

• Present age of Ramesh's father

Solution :

Step 1 of 2 :

Form the equation to calculate present age of Ramesh and Ramesh's father

Here it is given that Ramesh's father's present age is three times Ramesh's age.

Let Present age of Ramesh = x years

∴ Present age of Ramesh's father = 3x years

After 12 years age of Ramesh will be (x + 12) years and age of Ramesh's father will be (3x + 12)years

Now it is given that after 12 years, his father's age will be twice his age

So by the given condition

$\displaystyle \sf (3x + 12) = 2(x + 12)$

Step 2 of 2 :

Calculate

$\displaystyle \sf (3x + 12) = 2(x + 12)$

$\displaystyle \sf{ \implies }3x + 12 = 2x + 24$

$\displaystyle \sf{ \implies }3x - 2x = 24 - 12$

$\displaystyle \sf{ \implies }x = 12$

Present age of Ramesh = x years = 12 years

Present age of Ramesh's father

= 3x years

= (3 × 12) years

= 36 years

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