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Question

The product of two consecutive positive odd numbers is 195. Find the numbers.

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Solution

Step 1 : Framing the equation
Let one of the odd positive number be x. The other odd positive number will be (x + 2)
The product of the numbers is x(x+2)=195x2+2x195=0
Step 2: Solving the equation
x2+2x195=0
x2+15x13x195=0(x+15)(x13)=0
x+15=0 or x13=0x=15 or x=13
Step 3: Interpreting and finding the solution
Since the numbers must be positive, x = -15 is not taken.
x=13 and x+2=13+2=15
The two consecutive odd positive numbers are 13 and 15.

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