Question

Jack's age is three years more than twice his younger brother Jimmy's age If the sum of their ages is at most 18 find the greatest age that Jimmy could be.

Answer 1

j + 3 + 2j ≤ 18
3j + 3 ≤ 18
3j ≤ 15
j ≤ 5 
jimmy's age is 5 years or less

Answer 2

Jimmy's age could be less than or equal to five years.

What is inequality?

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions is called inequality.

Let the Jimmy's age be x year old.

According to the given question.

Jack's age is three years more than twice his younger brother Jimmy's age.

⇒ Jack's age = 3 + 2x

Also, the sum of the ages of Jack and his brother Jimmy is at most 18.

Therefore, the inequality which represents this condition is given by

$x + 3 + 2x \leq 18$

Solve the above inequality for finding the greatest age of Jimmy that could be.

$x + 3 + 2x\leq 18$

⇒$3x + 3 \leq 18$

⇒$3x\leq 18 -3$

⇒$3x\leq 15$

⇒$x\leq 5$

Hence, Jimmy's age could be less than or equal to five years.

Find out more information about inequality here:

https://brainly.com/question/20383699

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