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

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Math Expert
Joined: 02 Sep 2009
Posts: 58428
John is 20 years older than Steve. In 10 years, Steve's age will be ha  [#permalink]

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Updated on: 10 Jul 2019, 04:52
00:00

Difficulty:

45% (medium)

Question Stats:

63% (01:39) correct 37% (01:16) wrong based on 19 sessions

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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

Source: Nova GMAT
Difficulty Level: 650

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Originally posted by Bunuel on 14 Apr 2019, 04:22.
Last edited by SajjadAhmad on 10 Jul 2019, 04:52, edited 1 time in total.
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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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14 Apr 2019, 04:27
1
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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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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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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