Question

Average age of a and b is 30 years and average age of b and c is 26 years.find the age difference of a and b

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:  The difference between the ages of A and C is 8 years.

Step-by-step explanation:  Given that the average age of A and B is 30 years and average age of B and C is 26 years.

We are to find the age difference of A and C.

Let a years, b years and c years represents the ages of A, B and C respectively.

Then, according to the given information. we have

$\dfrac{a+b}{2}=30\\\\\Rightarrow a+b=60~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

and

$\dfrac{b+c}{2}=26\\\\\Rightarrow b+c=52~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

Subtracting equation (ii) from equation (i), we get

$(a+b)-(b+c)=60-52\\\\\Rightarrow a-c=8.$

Thus, the difference between the ages of A and C is 8 years.