Question 879592
Let a = Amy's age
Let b = Brother's age
Let m = Mom's age
:
Write an equation for each statement:
:
Amy's brother is half the age of Amy.
b = .5a
:
 Amy's mom is twice the age of Amy and seven years older.
m = 2a + 7
;
 The sum of their age is 56.
a + b + m = 56
Replace b with .5a, replace m with (2a+7)
a + .5a + (2a+7) = 56
Combine like terms, subtract 7 from both sides
3.5a = 56 - 7
3.5a = 49
a = 49/3.5
a = 14 yrs is Amy's age
:
:
You can check this for yourself, find b and m and find the total of all three ages