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The product of two successive integral multiples of 5 is 1050. Then the numbers are
  • a)
    35 and 40
  • b)
    25 and 30
  • c)
    25 and 42
  • d)
    30 and 35
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The product of two successive integral multiples of 5 is 1050. Then th...
Explanation:
Let one multiple of 5 be x then the next consecutive multiple of will be (x+5) According to question,
Then the number are 30 and 35.
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Most Upvoted Answer
The product of two successive integral multiples of 5 is 1050. Then th...
The problem:
The product of two successive integral multiples of 5 is 1050. We need to find these two numbers.

Approach:
Let's assume the two numbers as (5x) and (5x + 5), where x is an integer. We can form an equation based on the given information and solve for x.

Solution:
Let's form the equation based on the given information:
(5x) * (5x + 5) = 1050

Expanding the equation:
25x^2 + 25x = 1050

Simplifying the equation:
25x^2 + 25x - 1050 = 0

Factoring the equation:
25(x^2 + x - 42) = 0

Further simplification:
(x^2 + x - 42) = 0

Factoring the quadratic equation:
(x + 7)(x - 6) = 0

Solving for x:
x + 7 = 0 or x - 6 = 0

If x + 7 = 0, then x = -7
If x - 6 = 0, then x = 6

Since we are looking for positive integers, we can discard the negative value of x.

Calculating the numbers:
Using the value of x, we can find the two numbers:
First number = 5x = 5 * 6 = 30
Second number = 5x + 5 = 5 * 6 + 5 = 35

Thus, the two successive integral multiples of 5 that have a product of 1050 are 30 and 35.

Final Answer:
The correct answer is option D, which states that the numbers are 30 and 35.
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The product of two successive integral multiples of 5 is 1050. Then the numbers area)35 and 40b)25 and 30c)25 and 42d)30 and 35Correct answer is option 'D'. Can you explain this answer?
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