Question

A,B And C'S Age Are Such That A Is Youngest And C Is Eldest. Also The Difference Between A And B'S Age Is Same As The Difference Between B And C'S Age. The Sum Of A And C'S Age Is 108. Find B'S Age?

Answer 1

Hope you understand easily

Answer 2

The age of B's is 54 years.

Step-by-step explanation:

Given:

A,B And C'S Age Are Such That A Is Youngest And C Is Eldest.

The Difference Between A And B'S Age Is Same As The Difference Between B And C'S Age.

The Sum Of A And C'S Age Is 108.

To Find:

The age of B's .

Solution:

Let the age of A,B and C are a,b, and c years respectively.

As given,A,B And C'S Age Are Such That A Is Youngest And C Is Eldest.

As given,The Difference Between A And B'S Age Is Same As The Difference Between B And C'S Age.

$a-b=b-c$

$2b=a+c$  --------- equation no.01.

A given,the Sum Of A And C'S Age Is 108.

$a+c=180$  -------- equation no,02.

Putting the value of (a+c) from equation no.02 to equation no.01, we get.

$2b=108$

$b=54 \ years$

Thus,the age of B's is 54 years.

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