Answer:
2 and 3
Explanation:
You want two consecutive natural numbers whose product is 1.5 times the square of the smaller.
Setup
Let x represent the smaller number. Then the given relation is ...
x(x +1) = 1.5x²
Solution
Dividing by x gives ...
x +1 = 1.5x
1 = 0.5x . . . . . . subtract x
2 = x
The two numbers are 2 and 3.
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Additional comment
Their product is 2·3 = 6. The square of the smaller is 2² = 4. When that is multiplied by 1.5, the result is 6, as required.
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