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The ratio of the present ages of a father and a son is 8 : 1. Eight ye

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Bunuel
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The ratio of the present ages of a father and a son is 8 : 1. Eight ye [#permalink] New post   17 Jan 2020, 00:47
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The ratio of the present ages of a father and a son is 8 : 1. Eight years from now, the ratio would be 10 : 3. What is the present age of the father?

A. 24
B. 32
C. 40
D. 48
E. 56
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B
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Re: The ratio of the present ages of a father and a son is 8 : 1. Eight ye [#permalink] New post   17 Jan 2020, 03:22
Bunuel wrote:
The ratio of the present ages of a father and a son is 8 : 1. Eight years from now, the ratio would be 10 : 3. What is the present age of the father?

A. 24
B. 32
C. 40
D. 48
E. 56


given
f/s= 8/1
after 8 years
f+8/s+8 = 10/3
solve for f
we get f= 32
IMO B
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IanStewart
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Re: The ratio of the present ages of a father and a son is 8 : 1. Eight ye [#permalink] New post   17 Jan 2020, 06:04
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If in 8 years, the ratio of the father's age to the son's age will be 10 to 3, then when we add 8 to the father's age, we must get a multiple of 10. Among the answer choices, only answer B gives us a multiple of 10 when we add 8 to it, so B must be right.
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Re: The ratio of the present ages of a father and a son is 8 : 1. Eight ye [#permalink] New post   17 Jan 2020, 10:59
Bunuel wrote:
The ratio of the present ages of a father and a son is 8 : 1. Eight years from now, the ratio would be 10 : 3. What is the present age of the father?

A. 24
B. 32
C. 40
D. 48
E. 56

\(\frac{F}{S} = \frac{8}{1}\)
\(\frac{F_8}{S_8} = \frac{10}{3}\)

Now, check carefully

\(\frac{F}{S} = \frac{8------+2------>10}{1-------+2------>3}\)

Quote:
Eight years from now, the ratio would be 10 : 3.


2 is represented as 8
1 is represented as 4
Quote:
What is the present age of the father?
So, Present age of father will be 4*8 = 32, Answer must be (B)
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Re: The ratio of the present ages of a father and a son is 8 : 1. Eight ye [#permalink]
17 Jan 2020, 10:59
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