Question 1164421: 14 years from now Miguel will be twice as old as Mary.
The current sum of the ages of Miguel and Mary is 50.
How old is Mary right now? Found 2 solutions by Cromlix, MathTherapy:Answer by Cromlix(4381) (Show Source):
You can put this solution on YOUR website! Hi,
Make Miguel = x
Mary = y
x + 14 = 2(y + 14)......Eq(1)
x + y = 50........Eq (2)
If x + y = 50
x = 50 - y
Substitute x = 50 - y in Eq (1)
x + 14 = 2y + 28...Eq(1)
(50 - y) + 14 = 2y + 28
Collect like terms
- y + (-2y) = 28 - 50 - 14
-3y = - 36
Multiply both sides by -1
3x = 36
x = 12
Substitute x = 12 into Eq (2)
x + y = 50
12 + y = 50
y = 50 - 12
y = 38
Mary's current age is 38 yrs.
Hope this helps :-)
You can put this solution on YOUR website!
14 years from now Miguel will be twice as old as Mary.
The current sum of the ages of Miguel and Mary is 50.
How old is Mary right now?
