Question

Amy's sister is 7 years less than twice Amy's age, a. The sum of Amy's age and her sister's age is 41. Which equation represents this relationship?

1. a + (7 - 2a) = 41
2. a + (2a - 7) = 41
3. 2a - 7 = 41
4. a = 2a - 7

Answer 1

The correct equation is number 2. a + (2a - 7)
= 41

Answer 2

The relationship between Amy's age, a, and her sister's age is that her sister is 7 years less than twice Amy's age. To represent this relationship, we can use the equation:

2a - 7 = sister's age

This equation shows that the sister's age is equal to twice Amy's age minus 7.

Alternatively, we can use the equation:

a + (2a - 7) = 41

This equation shows that the sum of Amy's age and her sister's age is 41.

The correct equation is number 2. a + (2a - 7) = 41