Laurie C. answered • 04/22/15

Math Tutor Cincinnati, OH

let x = michaels age

let y = johns age

x =17 + y michael's age is 17 years older than john

x+4 +y+4 = 49 in 4 yrs, so we need to add 4 to both of their current age, the sum is 49

from here you need to substitute the first equation into the second

(17+y)+4+y+4 = 49

17+8 +2y = 49

25+2y = 49

2y = 49-25

2y = 24

y = 12

so Johns age is 12, use that to solve for x, Michaels Age

x= 17 + y

x = 17+12

x = 29

Michaels age is 29

self check: use the second equation

x+4 +y+4 = 49

(29+4) + (12+4) = 49

33+16 = 49

49 = 49