Answer :

Data:

Denise (D) = A-7

Alma (A)= A

Misty (M) = 2A

D+A+M=37

D=?

You can use the add of the age of the three persons:

[tex]D+A+M=37[/tex]

Knowing that:

D=A-7

M=2A

You substitute the value of D and M, as follow:

[tex](A-7)+A+(2A)=37[/tex]

You can clear the A to find the value of that varaible:

[tex]A-7+A+2A=37[/tex][tex]4A-7=37[/tex][tex]4A=37+7[/tex][tex]A=\frac{44}{4}=11[/tex]Then the age of Denise is: 4[tex]D=A-7=11-7=4[/tex]

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