SOLUTION: Henry is ten more than two times as old as Cheryl. In 20 years the sum of their ages will be 92. How old is Cheryl now?

Question 213062: Henry is ten more than two times as old as Cheryl. In 20 years the sum of their ages will be 92. How old is Cheryl now?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let h = Henry's present age
Let c = Cheryl's present age
;
Write an equation for each statement:
:
Henry is ten more than two times as old as Cheryl.
h = 2c + 10
:
In 20 years the sum of their ages will be 92.
(h+20) + (c+20) = 92
h + c + 40 = 92
h + c = 92 - 40
h + c = 52
:
How old is Cheryl now?
:
Replace h with (2c+10)
2c + 10 + c = 52
2c + c = 52 - 10
3c = 42
c =
c = 14 yrs is Cheryl's present age
;
:
Check solution:
Find h: h + 14 = 52; h = 38
Check solution in the statement:
"In 20 years the sum of their ages will be 92."
38 + 20 + 14 + 20 = 92
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