Question 1010617: Jack is 4 years older than Jill. In 5 years, the sum of their ages will be 58. How old is each person now? Found 2 solutions by lwsshak3, addingup:Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Jack is 4 years older than Jill. In 5 years, the sum of their ages will be 58. How old is each person now?
let x=Jill's present age
x+4=Jack's present age
In 5 yrs:
x+5=Jill's age
x+4+5=x+9=Jack's age
x+5+x+9=58
2x=44
x=22
x+4=26
Jill's present age=22
Jack's present age=26
You can put this solution on YOUR website! Jack: x
Jill: y
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x = y+4 we'll use this value for x next
x+5+y+5= 58 Substitute for x:
y+4+5+y+5= 58
2y+14= 58 subtract 18 on both sides
2y= 44 divide both sides by 2
y= 22 Jill is 22 And Jack is 4 years older
x= 22+4= 26
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check:
In 5 years the sum of their ages will be 58:
(22+5)+(26+5)=
27+31= 58 We have the right answer