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Toshi is four times as old as Kosuke. In x years Toshi will
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19 Aug 2018, 03:46
19 Aug 2018, 03:46
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Toshi is four times as old as Kosuke. In x years Toshi will be three times as old as Kosuke. How old is Kosuke, in terms of x?
(A) 2x
(B) 3x
(C) 4x
(D) 8x
(E) 12x
(A) 2x
(B) 3x
(C) 4x
(D) 8x
(E) 12x
Re: Toshi is four times as old as Kosuke. In x years Toshi will
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07 Jan 2019, 15:32
07 Jan 2019, 15:32
Kosuke=K
Toshi= 4k
After x years,
3(k+x) = 4k+x
k=2x
Answer A.
Toshi= 4k
After x years,
3(k+x) = 4k+x
k=2x
Answer A.
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Re: Toshi is four times as old as Kosuke. In x years Toshi will
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18 Jun 2020, 07:20
18 Jun 2020, 07:20
1
sandy wrote:
Toshi is four times as old as Kosuke. In x years Toshi will be three times as old as Kosuke. How old is Kosuke, in terms of x?
(A) 2x
(B) 3x
(C) 4x
(D) 8x
(E) 12x
(A) 2x
(B) 3x
(C) 4x
(D) 8x
(E) 12x
Toshi is four times as old as Kosuke.
Let K = Kosuke's PRESENT age
So, 4K = Toshi's PRESENT age
Note: This also means....
K + x = Kosuke's age IN x YEARS
4K+ x = Toshi's age IN x YEARS
In x years Toshi will be three times as old as Kosuke.
In other words: (Toshi's age IN x YEARS) = 3(Kosuke's age IN x YEARS)
We can write: 4K+ x = 3(K+ x)
How old is Kosuke, in terms of x?
In other words, we want Kosuke's PRESENT age (K) in terms of x
Take: 4K+ x = 3(K+ x)
Expand the left side: 4K + x = 3K + 3x
Subtract 3K from both sides: K + x = 3x
Subtract x from both sides: K = 2x
So, Kosuke's PRESENT age = 2x
Answer: A
Cheers,
Brent
