Hi,

Let x represent Mike's age...then

David is(x+5)

sheila is (x+6)

nancy is (x+9)

claire is (x+10)

Question states***

 x + (x+5)+(x+6)+(x+9)+(x+10) = 120

  5x +30 = 120

     5x = 90

      x = 18, Mike's age. David 23, Sheila 24, Nancy 27 and Claire 28

CHECKING our Answer***

 18 + 23 + 24 + 27 + 28 = 120 

RELATED QUESTIONS

Claire is one year older than her sister Nancy.  Nancy is three years older than her... (answered by ladyluck4772)

Claire is one year older than her sister Nancy.  Nancy is three years... (answered by Edwin McCravy)

1. Claire is one year older than her sister Nancy. Nancy is three years older that her... (answered by rfer)

Liza is one year older than her sister. In four years Liza will be three times older than  (answered by josgarithmetic,ikleyn,MathTherapy)

Erin has an older sister and a younger sister. Her older sister is one year more than... (answered by ewatrrr)

Tom is 6. He is three years older than claire and twice as old as Jack. Gareth is one... (answered by josgarithmetic)

Kier is x years old and his sister Nancy is x^2 yrs. old. In 7 years, Nancy will be 1... (answered by Theo)

Lee has an older sister and a younger sister. Her older sister is one year more than... (answered by rapture)

Sally has an older sister and a younger sister. Her older sister is one year more than... (answered by josgarithmetic)