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Present age of X and Y are in the ratio 5:6 respectively. Seven years hence this ratio will become 6:7 respectively. Wat is X’s present age?
  • a)
    35                            
  • b)
    42
  • c)
    49                            
  • d)
    Cannot be determined
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Present age of X and Y are in the ratio 5:6 respectively. Seven years ...
Let
X present age is 5a---(1)
Y present age is 6a

After 7 years
5a+7/6a+7=6/7
cross multiply
So
7(5a+7)=6(6a+7)
35a+49=36a+42
a=7--(2)

substitute (2) in (1)
X present age is 5(7)= 35
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Community Answer
Present age of X and Y are in the ratio 5:6 respectively. Seven years ...
Ratio of Present Ages
Let the present age of X be 5x and the present age of Y be 6x, as their ages are in the ratio 5:6.

Ratio after 7 years
After 7 years, their ages will be 5x + 7 and 6x + 7 respectively. The ratio of their ages will be 6:7.

Equation
We can form an equation from the above information as follows:
(5x+7)/(6x+7) = 6/7

Solving the Equation
Solving the above equation, we get
35x + 49 = 36x + 42
x = 7

Present Age of X
Therefore, the present age of X is 5x = 5 × 7 = 35. Hence, option A is the correct answer.
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Present age of X and Y are in the ratio 5:6 respectively. Seven years hence this ratio will become 6:7 respectively. Wat is Xs present age?a)35b)42c)49d)Cannot be determinede)None of theseCorrect answer is option 'A'. Can you explain this answer?
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