Joe is twice as old as Mary. Nick is 7 years older than Mary. The sum of their ages is 43. What is the age of each person?

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Answer:

x Joe age

y Mary age

z Nick age

x = 2y

z = 7 + y

x + y + z = 43

substitute values of x and z

2y + y + 7 + y = 43

4y = 43 - 7

4y = 36

y = 9

Joe is 2y = 18

Nick is 7 + y = 16

Mary is 9