SOLUTION: Four times Mark's present age is 4 more than eight times what Matt's age was 2 years ago. Three times Matt's present age is 3 more than twice what Mark's age was 4 years ago. Find
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Question 418551: Four times Mark's present age is 4 more than eight times what Matt's age was 2 years ago. Three times Matt's present age is 3 more than twice what Mark's age was 4 years ago. Find their present ages.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Matt's age =x
Mark's age =y
2 years ago Matt's age = x-2
4y= 8(x-2)+4
4y=8x-16+4
4y=8x-12
4y-8x=-12.............1
---
3x=2(y-4)+3
3x=2y-8+3
3x-2y=-5...............2
-8x+4y=-12.............1
3x-2y=-5.............2
multiply (1)by 1
Multiply (2) by 2
-8x+4y= -12
6x-4y=-10
Add the two equations
-2x=-22
/-2
x=11 years Matt's age
plug value of x in (1)
-8x+4y=-12
-88+4y= -12
4y=-12+ 88
4y=76
y=19 Mark's age
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