Caroline is the youngest of four siblings whose ages are consecutive odd integers. If the sum of their ages is 96, find Caroline's age.

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Answer:

Caroline's age is 21 years which is an odd integer.

Integers are a subset of real numbers.

Integers are rational numbers except decimals and fractions.

There are 3 types of integers positive , negative and Zero.

Positive integers are 3, 6, 789 ...

Negative integers are -87, -345, -234 ...

Zero integers is 0

It is given that Caroline is the youngest of 4 siblings and all of their ages are odd consecutive integers.

Let us consider the age of Caroline's age to be x years(x is an odd integer).

She is the youngest so the sibling's age who is just older than Caroline is given by x+2 which is also another odd integer.

Ages of the other two siblings will be x + 4 , x + 6 .

Now sum of their ages is 96.

Therefore: x + (x+2) + (x+4) + (x+6) =96

or, 4x + 12 = 96

or, 4x = 84

or, x = 21 (odd integer)

Carline's age is 21 years

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