SOLUTION: Good Day, I need help regarding this age problem.
In 6 years, Jim will be 2/3 as old as Jane: and 8 years ago, he was 1/5 years old. Find their present age.
Jim?
Jane?
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Question 1177267: Good Day, I need help regarding this age problem.
In 6 years, Jim will be 2/3 as old as Jane: and 8 years ago, he was 1/5 years old. Find their present age.
Jim?
Jane?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
"as old." Jim, what at 8 years ago?
x Jan
y Jim
First part:
The ambiguous part: "8 years ago, he was 1/5 years old."
You mean, "he was years as old AS JANE"? If this, then .
You would have the system .
.
.
.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
Assuming the statement is supposed to be that Jim 8 years ago was 1/5 AS OLD AS Jane was then....
Given that Jim was 1/5 as old as Jane 8 years ago, I would make the algebra easier with...
Let x = Jim's age 8 years ago
then 5x = Jane's age 8 years ago
To get from 8 years ago to 6 years from now, we have to add 14 to each age:
x+14 = Jim's age 6 years from now
5x+14 = Jane's age 6 years from now
Jim's age 6 years from now will be 2/3 of Jane's age then:
Their ages 8 years ago were
Jim = x = 2
Jane = 5x = 10
Their ages now are
ANSWERS:
Jim = 2+8 = 10
Jane = 10+8 = 18
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