Question

Andrew is two years older than Beatrice, and Chris is three years younger than Beatrice.

The sum of Andrew's age and Chris' age is 67. Let b represent Beatrice's age.
Write an equation that would help determine Beatrice's age.

Answer 1

Beatrice age = 34 years

Explanation:

Given:

Andrew age = Beatrice age + 2 year

Chris age = Beatrice age - 3 year

Sum of Andrew's age and Chris' age = 67

Find:

Beatrice age

Computation:

Assume;

Beatrice age = b

So,

Andrew age = Beatrice age + 2 year

Andrew age = b + 2

Chris age = Beatrice age - 3 year

Chris age = b - 3

So,

Andrew's age and Chris' age = 67

b + 2 + b - 3 = 67

2b - 1 = 67

2b = 68

b = 34

So,

Beatrice age = b

Beatrice age = 34 years