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The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48. Find their present ages
  • a)
    2 and 18
  • b)
    The situation is not possible
  • c)
    6 and 14
  • d)
    10 and 10
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The sum of the ages of two friends is 20 years. Four years ago, the pr...
Let's assume the present ages of the two friends are x and y.

According to the given information, the sum of their ages is 20 years.
So, we can write the equation: x + y = 20.

Four years ago, the product of their ages was 48.
So, four years ago, their ages would have been x - 4 and y - 4.
The product of their ages four years ago is: (x - 4)(y - 4) = 48.

Now, let's solve these two equations to find the values of x and y.

Solving the first equation, x + y = 20, we can express x in terms of y:
x = 20 - y.

Substituting the value of x in the second equation, we have:
(20 - y - 4)(y - 4) = 48.

Simplifying this equation, we get:
(16 - y)(y - 4) = 48
16y - 4y - 64 = 48
12y = 112
y = 9.33.

Since y is not a whole number, it means there are no two whole numbers that satisfy the given conditions. Therefore, the situation is not possible.

Hence, the correct answer is option B - The situation is not possible.
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Community Answer
The sum of the ages of two friends is 20 years. Four years ago, the pr...
S the answer is ** the situation is not possible ** becz if the difference of their ages in the same year is given we can find that very easily.....
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The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48. Find their present agesa)2 and 18b)The situation is not possiblec)6 and 14d)10 and 10Correct answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48. Find their present agesa)2 and 18b)The situation is not possiblec)6 and 14d)10 and 10Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48. Find their present agesa)2 and 18b)The situation is not possiblec)6 and 14d)10 and 10Correct answer is option 'B'. Can you explain this answer?.
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