12 year old Mahesh is three times as old as his brother Ramesh. How ol...
age of Mahesh=12
Given, Mahesh is 3 times as old as Ramesh.
So age of Ramesh is=4
From options, we can see that when we put Mahesh's age to be 16, we get the age Ramesh to be 8.
∴ when Mahesh is 16 his age is twice that of Ramesh.
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12 year old Mahesh is three times as old as his brother Ramesh. How ol...
Given: Mahesh is 12 years old and three times as old as his brother Ramesh.
Let's assume the age of Ramesh as x years.
Then, according to the given condition, Mahesh's age = 3x years.
To find the age at which Mahesh will be twice as old as Ramesh, we can use algebraic equations.
Let's assume that after y years, Mahesh will be twice as old as Ramesh.
So, after y years, Ramesh's age = x + y years.
And after y years, Mahesh's age = 3x + y years.
According to the given condition, Mahesh will be twice as old as Ramesh after y years. So,
3x + y = 2(x + y)
Solving the above equation, we get:
y = x
So, after x years, Mahesh will be twice as old as Ramesh.
Now, we know that Mahesh's age = 3x years.
So, after x years, Mahesh's age will be:
3x + x = 4x years.
Therefore, Mahesh will be 16 years old when he is twice as old as Ramesh.
Hence, the correct answer is option D) 16 years.
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