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The average age of a man and his son is 54 years. The ratio of their ages is 23 : 13 respectively. What will be ratio of their ages after 6…

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The average age of a man and his son is 54 years. The ratio of their ages is 23 : 13 respectively. What will be ratio of their ages after 6 years?
  • A10 : 7
  • B5 : 3
  • C4 : 3
  • D3 : 2
Answer not set
0
CCommunity
Solution
Let age of man = $23x$ and age of son = $13x$
Sum of ages of man and son = 54 * 2 = 108 years
=> $23x + 13x = 108$
=> $x = \frac{108}{36} = 3$
=> Age of man = 23 * 3 = 69 years
Age of son = 13 * 3 = 39 years
=> Age of man after 6 years = 69 + 6 = 75 years
Age of son after 6 years = 39 + 6 = 45 years
$\therefore$ Required ratio = 75 : 45 = 5 : 3
0
CCommunity
Solution
Let age of man = $23x$ and age of son = $13x$
Sum of ages of man and son = 54 * 2 = 108 years
=> $23x + 13x = 108$
=> $x = \frac{108}{36} = 3$
=> Age of man = 23 * 3 = 69 years
Age of son = 13 * 3 = 39 years
=> Age of man after 6 years = 69 + 6 = 75 years
Age of son after 6 years = 39 + 6 = 45 years
$\therefore$ Required ratio = 75 : 45 = 5 : 3