Question 732523: Sally is 10 years older than Tim. In 8 years, the sum of their ages will be 40. Determine how old Sally and Tim are now.
Found 3 solutions by lynnlo, ikleyn, josgarithmetic:
Answer by lynnlo(4176)   (Show Source):
You can put this solution on YOUR website! SALLY,,,,,,,,,,,,,,TIM
SALLY==A
TIM====B
A=B+10
A+8+B+7=40
A+B=40-10
A+B=30
A-B=10
A+B=30
A-B=10
2A=40
A=20
SALLY==========40
TIM============20
Answer by ikleyn(53427)  (Show Source):
You can put this solution on YOUR website! .
Sally is 10 years older than Tim. In 8 years, the sum of their ages will be 40.
Determine how old Sally and Tim are now.
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The solution to this problem in the post by @lynnlo is incorrect.
I came to bring a correct solution.
Let x be the Tim's age.
Then the Sally's age is (x+10) years.
In 8 years, Tim's age is (x+8) years, while Sally's age is ((x+10)+8) = (x+18) years.
In 8 years, the sum of their ages will be 40 - so we write this equation
(x+8) + (x+18) = 40.
Simplify and find 'x'
2x + 26 = 40,
2x = 40 - 26 = 14,
x = 14/2 = 7.
Thus Tim is 7 years old now; Sally is 7+10 = 17 years old now. <<<---=== ANSWER
CHECK. (7+8) + (17+8) = 15 + 25 = 40. ! correct !
Solved correctly.
Answer by josgarithmetic(39702) (Show Source):
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