# The sum of patrick's age and makos age is 58.eight years ago patrick was twice as old as mako then how old is mako

1
by steffaye

Log in to add a comment

by steffaye

Log in to add a comment

Patrick's age: x

Mako's age: y

Equation 1:

x + y = 58

y = 58 - x

Ages 8 years ago:

Patrick's age: x - 8

Mako's age: y - 8 or 58-x-8 or 50-x

Solution:

x - 8 = 2 (50-x)

x - 8 = 100 - 2x

x + 2x = 100 + 8

3x = 108

3x/3 = 108/3

Substitute 36 to x in Equation 1:

x + y = 58

36 + y = 58

y = 58 - 36

36 + 22 = 58

58 = 58

Patrick: 36 - 8 = 28 years old

Mako: 22 - 8 = 14 years old

Patrick's age then was twice as Mako's:

28 = 2 (14)

28 = 28