Kelvin's Age 5 years ago is half his age 10 years hence. find his present age.
Answers
Answered by
2
Step-by-step explanation:
(k-5)=(k+10)/2
2k-10=k+10
k=20
Attachments:
Answered by
15
Answer:
Kelvin is presently 20 years old.
Step-by-step explanation:
Given:
Kelvin's age 5 years ago = Half his age 10 years hence
To find:
The present age
Solution :
Consider his present age as y.
His age 5 years ago = (y - 5)
His age 10 years hence = (y + 10)
According to the Question,
Kelvin's age 5 years ago = Half his age 10 years hence
⟶ 2(y - 5) = (y + 10)
⟶ 2y - 10 = y + 10
⟶ 2y - y = 10 + 10
⟶ y = 20
Kelvin's present age = 20 years
Therefore, Kelvin is presently 20 years old.
___________________
Verification:
Kelvin's age 5 years ago =
⟶ 20 - 5
⟶ 15
Kelvin's age 10 years hence =
⟶ 20 + 10
⟶ 30
15 is half of 30. It satisfies the condition of the question.
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