SOLUTION: kayla is 9 years older than twice hannah's age. if the difference in their ages is 16, how old is kayla? how old is hannah? jacob finds hannah's age to be 16 years. is he correct?
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Question 1066342: kayla is 9 years older than twice hannah's age. if the difference in their ages is 16, how old is kayla? how old is hannah? jacob finds hannah's age to be 16 years. is he correct? Found 2 solutions by josgarithmetic, MathTherapy:Answer by josgarithmetic(39618) (Show Source):
Only one of the possible differences will work; not both of them. .
Either h=k-16 OR h=k+16;
NOT both.
, based on h=k-16,
and continue finding h from this k,
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Kayla is 23 and Hannah is 7.
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You should find that h-k=16 from the absolute value equation will not work in giving a good solution. using h-k=16 -------------not good. A person's age must be non-negative.
You can put this solution on YOUR website!
kayla is 9 years older than twice hannah's age. if the difference in their ages is 16, how old is kayla? how old is hannah? jacob finds hannah's age to be 16 years. is he correct?
Let Hanna's age be H
Then Kayla's is: 2H + 9
It's quite clear that Kayla is older than Hanna, so we can say that Kayla's age is also: H + 16
Therefore, 2H + 9 = H + 16
2H - H = 16 - 9
H, or Hanna is:
Kayla is:
He's INCORRECT in every sense of the word! Hanna's age, based on the problem, is 7, and CANNOT be any other.
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