Question

Claire is 2 year younger than her sister. The

sum of ages is no less than 44 years. Write ar
inequality and find the youngest age Claire can
be.
23 years old
21 years old
24 years old
25 years old​

Answer 1

Given:

Claire is 2 year younger than her sister.

The sum of ages is no less than 44 years.

To find:

Inequality and find the youngest age Claire can be.

Solution:

Let the age of Claire be x.

Her sister's age = x+2

Sum of their ages is no less than 44 years. It means the sum ages is greater than or equal to 44.

`x+(x+2)\geq 44`

`2x+2\geq 44`

`2x\geq 44-2`

`2x\geq 42`

Divide both sides by 2.

`x\geq 21`

It means, Claire age can be greater than or equal to 21. So, the youngest age Claire can be 21 years old.

Therefore, the required inequality is
`2x+2\geq 44` and the correct option is B.