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If John is exactly 4 years older than Bill, how old is John?
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adkikani
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If John is exactly 4 years older than Bill, how old is John? [#permalink] New post  22 Nov 2018, 08:06
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Project DS Butler: Day 17: Data Sufficiency (DS34)


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If John is exactly 4 years older than Bill, how old is John?

(1) Exactly 9 years ago John was 5 times as old as Bill was then.

(2) Bill is more than 9 years old.
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dave13
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Re: If John is exactly 4 years older than Bill, how old is John? [#permalink] New post  22 Nov 2018, 08:31
adkikani wrote:

Project DS Butler: Day 17: Data Sufficiency (DS34)


For DS butler Questions Click Here


If John is exactly 4 years older than Bill, how old is John?

(1) Exactly 9 years ago John was 5 times as old as Bill was then.

(2) Bill is more than 9 years old.




From the first statement I can create equation:

\(5(x+4)-9=\frac{(x-9)}{5}\)

\(5x+20-45=x-9\)

\(4x =-9+25\)

\(4x=16\)

\(x =4\)

SUFFICIENT


Statement Two IS INSUFFICIENT illogical if John is 4 older than Bill, how can Bill be more than 9 years older


IMO: A :)
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Re: If John is exactly 4 years older than Bill, how old is John? [#permalink] New post  22 Nov 2018, 08:37
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J = John, B = Bill

Given: J = B + 4

(1) J - 9 = 5*(B - 9), substitute the value of B here, we get,

J - 9 = 5*(J - 4 - 9). From here on, we can solve to get value of J. Hence sufficient.

(2) Given that B > 9, we get, J - 4 > 9 or J > 13, but can't find a specific value for J. Hence Insufficient.

Option A
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Re: If John is exactly 4 years older than Bill, how old is John? [#permalink]
22 Nov 2018, 08:37
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