Question

Write an inequality for the word problem and answer the question about the inequality. Todd is five years older than his sister Anne the sum of their ages is less than 15 Could Anne be 9 years old.

Answer 1

y < 5

Anne age is less than 5 years old

Anne can't be 9 years old

Explanation:

Let Todd age be x

Let Anne age be y

Todd is five years older than his sister Anne

Mathematically, this can be expressed as

x = y + 5

The sum of their ages is less than 15

x + y < 15

Since x = y + 5

Then,

y + 5 + y < 15

2y + 5 < 15

2y < 15 - 5

2y < 10

y < 10/2

y < 5

Hence, Anne age is less than 5

Anne can't be 9 years old