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John is 20 years older than Steve. In 10 years, Steve's age will be ha

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John is 20 years older than Steve. In 10 years, Steve's age will be ha  [#permalink]

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New post 14 Apr 2019, 04:22
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

70% (01:40) correct 30% (01:41) wrong based on 10 sessions

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Re: John is 20 years older than Steve. In 10 years, Steve's age will be ha  [#permalink]

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New post 14 Apr 2019, 04:27
Bunuel wrote:
John is 20 years older than Steve. In 10 years, Steve's age will be half that of John's. What is Steve's age?

(A) 2
(B) 8
(C) 10
(D) 20
(E) 25


given
J=20+s
and
J+10/2= S+10
solve for S
we get
20+s+10/2= s+10
s= 10
IMO C
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Re: John is 20 years older than Steve. In 10 years, Steve's age will be ha  [#permalink]

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New post 14 Apr 2019, 04:33
Bunuel wrote:
John is 20 years older than Steve. In 10 years, Steve's age will be half that of John's. What is Steve's age?

(A) 2
(B) 8
(C) 10
(D) 20
(E) 25


Let Steve's age be S and John's age be J. Now, \(J = S + 20\) and \(S + 10 = \frac{1}{2}(J + 10)\)

Substituting \(J = S + 20\) in the second equation, we get \(2(S + 10) = S + 20 + 10\)

Solving for S, we get \(2S + 20 = S + 30\) -> S = 10(Option C)
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Re: John is 20 years older than Steve. In 10 years, Steve's age will be ha  [#permalink]

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New post 14 Apr 2019, 04:45
Jihn's present age:
J=s+20
In 10yrs
Steve's age= S+10
John's age= S+30
According to given info:
S+10= 1/2(s+30)
S=10
IMO C

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Re: John is 20 years older than Steve. In 10 years, Steve's age will be ha   [#permalink] 14 Apr 2019, 04:45
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