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Two years ago the ratio of ages of A and B was 5:7. Two years hence the ratio of their ages will be 7:9. What is the present age of B.
- a)16 years
- b)14.5 years
- c)12 years
- d)15 years
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Two years ago the ratio of ages of A and B was 5:7. Two years hence th...
Let x,y be present ages of A,B.
x-2/y-2=5/7 implies 7x-5y=4 -(1)
x+2/y+2=7/9 implies 9x-7y=-4. (2)
(1) * 7 - (2) * 5 gives x=12
substitute and get y which would be 16
x-2/y-2=5/7 implies 7x-5y=4 -(1)
x+2/y+2=7/9 implies 9x-7y=-4. (2)
(1) * 7 - (2) * 5 gives x=12
substitute and get y which would be 16
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Two years ago the ratio of ages of A and B was 5:7. Two years hence th...
Given:
The ratio of ages of A and B two years ago = 5:7
The ratio of their ages two years hence = 7:9
To find: Present age of B
Solution:
Let the present ages of A and B be A and B respectively.
According to the given condition,
(A-2)/(B-2) = 5/7 ----(1)
(A+2)/(B+2) = 7/9 ----(2)
Solving the above equations, we get:
A = 22
B = 28
Therefore, the present age of B is 28 years.
Answer: (a) 16 years
The ratio of ages of A and B two years ago = 5:7
The ratio of their ages two years hence = 7:9
To find: Present age of B
Solution:
Let the present ages of A and B be A and B respectively.
According to the given condition,
(A-2)/(B-2) = 5/7 ----(1)
(A+2)/(B+2) = 7/9 ----(2)
Solving the above equations, we get:
A = 22
B = 28
Therefore, the present age of B is 28 years.
Answer: (a) 16 years
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