Question

Three positive numbers are in the ratio of 3:4:5. When the square of the middle is subtracted from the product of the two numbers, the answer is? Find the numbers

Answer 1

Let the three numbers be 3x, 4x, and 5x, where x is a positive constant.

The product of the two numbers is (3x)(5x) = 15x^2.
The square of the middle number is (4x)^2 = 16x^2.

When the square of the middle number is subtracted from the product of the two numbers, we have 15x^2 - 16x^2 = -x^2.

Thus, the answer is -x^2, which depends on the value of x.