The product of two consecutive positive multiples of 5 is 750. What is the smaller of the two numbers?
Given:
The product of two consecutive positive multiples of 5 is 750.
Solution:
Let the smaller multiple of 5 be x. The next consecutive multiple of 5 will be x + 5.
According to the problem, their product is 750:
x × (x + 5) = 750
x × (x + 30) - 25 × (x + 30) = 0
(x - 25) × (x + 30) = 0
This gives x = 25 or x = -30. Since we are looking for positive multiples, we discard -30.
x = 25
The smaller number is 25.
Final Answer
So the correct answer is (d)
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