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Question

One year ago the ratio between Samir and Ashok’s age was 4:3. One year hence the ratio of their ages will be 5:4. What is the sum of their present ages in years?

Options:
A .  15
B .  16
C .  17
D .  18
E .  None of these
Answer: Option B

 -  Let one year ago
Samir’s age be 4X years
And, Ashok’s age be 3X years
Present age of Samir = (4X + 1) years
Present age of Ashok = (3X + 1) years
One year hence
Samir’s age = (4X + 2) years
Ashok’s age = (3X + 1) years
According to question,
  4X + 2 = 5   16 + 8 = 15X + 10   3X + 2 4  
or,       X = 2
Sum of their present ages = 4X + 1 + 3X + 1
= 7X + 2
= 7 x 2 + 2 = 16 years.

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