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The ratio of the ages of a father and his son 10 years hence will be 5:3, while 10 years ago, it was 3:1. The ratio of the age of the son to that of the father today, is

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The ratio of the ages of a father and his son 10 years hence will be 5:3, while 10 years ago, it was 3:1. The ratio of the age of the son to that of the father today, is
1). 1:2
2). 1:3
3). 2:3
4). 2:5

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2 answers

1 vote
Answered by on | Votes 1 |
option 1 is the right one

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2 vote
Answered by on | Votes 2 |

Let the age of father 10 years
hence is 5x years, then age of
son 10 years hence will be 3x
years.
According to the question,

$\frac{5x-20}{3x-20}$= $\frac{3}{1}$

5x – 20 = 9x – 60
=> 4x = 40 or x = 10
$\therefore$ Required ratio
= (3x – 10) : (5x – 10)
= 20 : 40 = 1 : 2




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