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The sum of two numbers is 72. If the numbers are in the ratio 3 ∶ 5, then find the positive difference between the two numbers.
  • a)
    15
  • b)
    20
  • c)
    14
  • d)
    18
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The sum of two numbers is 72. If the numbers are in the ratio 3 5, th...
Given:
The sum of the two numbers is 72.
The numbers are in the ratio 3 ∶ 5
Calculation:
Let the numbers be 3x and 5x
According to the question,
3x + 5x = 72
⇒ 8x = 72
⇒ x = 9
Now, the numbers are 3 × 9 = 27 and 5 × 9 = 45
Difference = 45 - 27 = 18
∴ Difference between the two numbers 18.
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Most Upvoted Answer
The sum of two numbers is 72. If the numbers are in the ratio 3 5, th...
Understanding the problem:
The problem states that the sum of two numbers is 72 and these numbers are in the ratio 3:5.

Setting up the equation:
Let the two numbers be 3x and 5x (where x is a common factor).
According to the problem, 3x + 5x = 72.
Solving this equation, we get x = 12.

Finding the numbers:
Now, we can find the two numbers by substituting the value of x back into the ratio.
The two numbers are 3x = 3 * 12 = 36 and 5x = 5 * 12 = 60.

Calculating the positive difference:
The positive difference between the two numbers is given by |60 - 36| = 24.
Therefore, the correct option is d) 18.
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The sum of two numbers is 72. If the numbers are in the ratio 3 5, then find the positive difference between the two numbers.a)15b)20c)14d)18Correct answer is option 'D'. Can you explain this answer?
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