John is n years old where n is an whole number. Kim is three years younger than John and Vanessa is half of Kim's age. Write an expression for Vanessa's age in terms of n.

Just to make things easier to write I will be using some letters to mean things.I will write:J = John's ageK = Kim's ageV = Vanessa's age.So John is n years old so John's age is n --> J = n.Kim is three years younger than John which means --> Kim's age is 3 less than John's age. K = J - 3, which means that K = n - 3Vanessa is half of Kim's age which means that when we divide Vanessa's age by 2, we get Kim's age --> V = K / 2But we have an expression for K in terms of n so if we substitute that into our expression for V we get our answerV = (n-3)/2A question to think about; if I told you that Vanessa's age is a whole number, would that mean that John's age is an even number or an odd number?

Answered by Jack M. Maths tutor

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