In 2017, A is 9 years older than B who is five times as old as C. The total of the ages of A, B and C is 97 years. What would be the average of A and C ages in the year 2024 ?

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In 2017, A is 9 years older than B who is five times as old as C. The total of the ages of A, B and C is 97 years. What would be the average of A and C ages in the year 2024 ?

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**In 2017:-**

Let the Age of C=**X**

Then ,

Age of B=**5X** ( he is 5 times as old as C)

Age of A=**5X+9** ( he is 9 years older than B)

By given conditions,

**(5X+9)+5X+X=97**

**5X+5X+X+9=97**

**11X+9=97**

**11X=97-9=88**

**X=88/11=8**

Therefore

A's age=5*8+9=49

B's age=5*8=40

C's age=8

**In 2024:-**( that is after 7 years)

A's age=49+7=56

B's age=40+7=47

C's age=8+7=15

**Therefore average of A and C ages in 2024 =(56+15)/2=35.5**

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