Question

The sum of the ages of A and B is 45. The sum of
the ages of B and C is 55 years, and the sum of the
ages of A and C is 65 years. What is the age of B in years?​

Answer 1

Answer:

17.5

Step-by-step explanation:

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Answer 2

The age of B is 17.5 years.

Step-by-step explanation:

Consider the provided information.

The sum of the ages of A and B is 45.

A+B=45  .......(1)

The sum of  the ages of B and C is 55 years,

B+C=55  .......(2)

The sum of the  ages of A and C is 65 years.

A+C=65  .......(3)

We need to find the age of B.

Subtract equation 3 from equation 2.

B+C-A-C=55-65

B-A=-10  ......(4)

Now add equation 1 and 4.

A+B+B-A=45-10

2B=35

B=17.5

Hence, the age of B is 17.5 years.

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