Ram is three times as old as Mohan. Lokesh was twice as old as Ram fou...
S, Ram will be twice as old as Mohan. Find the present age of Lokesh, given that Lokesh is currently 20 years old.
Let's first find the present age of Ram and Mohan.
Given that Ram is three times as old as Mohan, we can represent their ages as:
Ram = 3Mohan ...(1)
Next, let's find their ages four years ago.
Ram's age four years ago = 3Mohan - 4
Lokesh's age four years ago = 20 - 4 = 16
Given that Lokesh was twice as old as Ram four years ago, we can represent their ages as:
16 = 2(3Mohan - 4)
16 = 6Mohan - 8
6Mohan = 16 + 8
6Mohan = 24
Mohan = 24/6
Mohan = 4
Plugging Mohan's age back into equation (1), we can find Ram's age:
Ram = 3 * 4
Ram = 12
In four years, Ram will be 12 + 4 = 16 years old, and Mohan will be 4 + 4 = 8 years old.
Given that Ram will be twice as old as Mohan in four years, we can write the equation:
16 = 2 * 8
Since the equation is true, the values of Ram and Mohan are correct.
Now, let's find Lokesh's present age.
Since Lokesh was twice as old as Ram four years ago, and Ram was 12 years old four years ago, we can represent Lokesh's age as:
Lokesh = 2 * (12 + 4)
Lokesh = 2 * 16
Lokesh = 32
Therefore, Lokesh's present age is 32 years old.
Ram is three times as old as Mohan. Lokesh was twice as old as Ram fou...
Let Ram’s age = x, Mohan’s age = y Lokesh’s age = z
∴ x = 3y …(1)
and z – 4 = 2 (x – 4)
z = 2x – 8 + 4 = 2x – 4 …(2)
x + 4 = 31 ⇒ x = 27
3y = 27 ⇒ y = 9
Using eqn. (2) z = 2x – 4 = 2 × 27 – 4 = 50
Hence z – y = 50 – 9 = 41
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.