Question

if the average age of rakesh and mohan is 15, average ages of mohan and ramesh is 12, and average ages of rakesh and ramesh is 13, then the age of mohan is

Answer 1

Answer:

14 years

Step-by-step explanation:

Let the age of Rakesh = x

            age of Mohan = y

            age of Ramesh = z

Given that average age of Rakesh and Mohan is 15

So, (x + y) / 2 = 15 ⇒ x + y = 30

Similarly, the average age of Mohan and Ramesh is 12

So, (y + z) / 2 = 12 ⇒ y + z = 24

Also, average age of Rakesh and Ramesh is 13

So, (x + z) / 2 = 13 ⇒ x + z = 26

We end up with three equations

• x + y = 30
• y + z = 24
• x + z = 26

From the 1st equation, x = 30 - y and from the second equation, z = 24 - y

Substituting x and z in equation 3 i.e, x + z = 26

We get, 30 - y + 24 - y = 26

⇒ 54 - 2y = 26

⇒ 2y = 28

⇒ y = 14

Therefore, the age of Mohan is 14 years