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

☆ Solutions

Let bea = x

Therefore Andrew = x + 2 Chris = x - 3

Andrew Chris = 66

(x + 2)(x-3) = 66 Remove the brackets.

x^2 + 2x -3x - 6 = 66

x^2 - x - 6 = 66 Subtract 66 from both sides.

x^2 - x - 72 = 0

(x - 9)(x + 8) = 0

Find the possible values of Bea's age

X-9=0

x = 9 That value works. She can be plus 9 years

old.

x + 8 = 0

x = - 8. There's no way she can be - 8 years old

So Bea is 9.

》Answer - 9

Answer 2

Answer:

2x - 1 = 67

Step-by-step explanation:

Answer in the image attached.

Hope it help