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The sum of Patrick's age and Mako's age is 58.Eight years ago , Patrick was twice as old as Mako then. How old is Mako?
(please pasagot po need ko lang with Solution)

Sagot :

Present ages:
x + y = 58
y = 58 - x

Let Patrick's age be x
Mako's age be 58 - x

Ages eight years ago ( minus 8):
Patrick's: x - 8
Mako's: 58 - x - 8   or  50 - x

Equation:
x - 8 = 2 (50 - x)
x - 8 = 100 - 2x
x + 2x = 100 + 8
3x = 108
3x/3 = 108/3
x = 36

Present ages:
Patrick's: x = 36 years old
Mako's: 58 - x = 58 - 36 = 22 years old

Answer:  Mako is 22 years old.

Check:
36 + 22 = 58
58 = 58

Ages Eight years ago:
Patrick's age 8 years ago: 36 - 8 = 28 years old
Mako's age 8 years ago:  22 - 8 =  14 years old

Patrick's age was twice Mako's age 8 years ago:
28 = 2 (14)
28 = 28