Al is seven years older than Barb and Cindy is three times as old as Barb. The sum of their ages is 62. How old is Al?

Let, the age of AI be 'x' years, the age of Barb be 'y' years and the age of Cindy be 'z' years.

Let, the age of AI be 'x' years, the age of Barb be 'y' years and the age of Cindy be 'z' years. Then,

Let, the age of AI be 'x' years, the age of Barb be 'y' years and the age of Cindy be 'z' years. Then,According to question,

x= y + 7 (i)

z= 3y(ii)

ii)

Now,

x + y + z= 62 ( From question)

Replacing the value of x ans z from equation (i) and (ii)

or, y + 7 + y + 3y = 62

or, 5y + 7 = 62

or, 5y = 55

. ° . y = 11 years

Again,

Again, In equation(i)

x = y + 7

or, x = 11 + 7

. ° . x= 18 years.

Hence, the age of AI is 18 years.

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