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There are two persons A and B and A' s present age is greater than B' present age . Which of the following will be the relation between the ratio of the squares of their ages after 7 years (X) and the ratio of their ages after 12 years (Y)? Options - a) X < y="" b)="" x="Y" c)="" x="" />Y d) X =< y?="" />
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There are two persons A and B and A' s present age is greater than B' ...
Relation between the ratio of the squares of their ages after 7 years and the ratio of their ages after 12 years

Given: A's present age > B's present age

Let A's present age = a and B's present age = b

After 7 years, the ages of A and B will be (a+7) and (b+7) respectively.

After 12 years, the ages of A and B will be (a+12) and (b+12) respectively.

Now, we need to find the relation between the ratio of the squares of their ages after 7 years and the ratio of their ages after 12 years.

Ratio of the squares of their ages after 7 years:

(a+7)^2 / (b+7)^2

Ratio of their ages after 12 years:

(a+12) / (b+12)

To find the relation between X and Y, we can simplify both ratios by expanding the squares and cross-multiplying:

X = (a^2 + 14a + 49) / (b^2 + 14b + 49)

Y = (a+12) / (b+12)

Now, we can compare X and Y:

If a > b, then X > Y

If a < b,="" then="" x="" />< />

If a = b, then X = Y

Therefore, the correct answer is option (c) X > Y when A's present age is greater than B's present age.
Community Answer
There are two persons A and B and A' s present age is greater than B' ...
X>Y
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There are two persons A and B and A' s present age is greater than B' present age . Which of the following will be the relation between the ratio of the squares of their ages after 7 years (X) and the ratio of their ages after 12 years (Y)? Options - a) X Y d) X =
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There are two persons A and B and A' s present age is greater than B' present age . Which of the following will be the relation between the ratio of the squares of their ages after 7 years (X) and the ratio of their ages after 12 years (Y)? Options - a) X Y d) X = for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about There are two persons A and B and A' s present age is greater than B' present age . Which of the following will be the relation between the ratio of the squares of their ages after 7 years (X) and the ratio of their ages after 12 years (Y)? Options - a) X Y d) X = covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are two persons A and B and A' s present age is greater than B' present age . Which of the following will be the relation between the ratio of the squares of their ages after 7 years (X) and the ratio of their ages after 12 years (Y)? Options - a) X Y d) X =.
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