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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?
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.
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.
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? for GMAT 2026 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about 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? covers all topics & solutions for GMAT 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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